Index

A

• absolute tolerance
  • about / Comparison
  • reference link / Comparison
• accessor function
  • about / Linear Velocity
• accumulated impulses
  • about / Accumulated impulse
• adjugate function
  • implementing / Adjugate matrix, Getting ready
• angles
  • about / Angles, How to do it…, How it works…
  • radians / Radians and degrees
  • degrees / Radians and degrees
• Angular Acceleration
  • about / Angular Velocity and Acceleration
  • Tangential Acceleration / Tangential Acceleration
  • Centripetal Acceleration / Tangential Acceleration, Centripetal Acceleration
• Angular Impulse
  • about / Introduction
  • using / Angular Impulse, How to do it..., How it works...
  • reference link / There's more...
  • non-linear projection / Non-linear projection
• angular momentum
  • reference link / Tensors
• Angular Velocity
  • about / Angular Velocity, Angular Velocity and Acceleration, How to do it..., There's more...
  • Torque / Torque
  • Inertia Tensor / Inertia Tensor
  • tensors / Tensors
• anti-symmetric matrix
  • reference link / How it works…
• arbiter
  • about / Expanding Polytope Algorithm (EPA), Arbiters
• arbiter system
  • implementing / Arbiters
• Axis Aligned Bounding Box (AABB)
  • about / Axis Aligned Bounding Box, How to do it, How it works, Point and AABB, Sphere-to-AABB, Introduction, Triangle to Axis Aligned Bounding Box, The Model object, Bounding Box in frustum
  • point tests, implementing / Point and AABB, Getting ready, How to do it…, How it works…
  • raycast, implementing / Raycast Axis Aligned Bounding Box, How to do it…, How it works…
  • Linetest function, implementing / Linetest Axis Aligned Bounding Box, Getting ready, How it works…
  • Raycast function, updating / Raycast Bounding Box, How to do it…, How it works…
• Axis Aligned Bounding Box (AABB) to Axis Aligned Bounding Box
  • intersection, testing / AABB-to-AABB, How to do it…
• Axis Aligned Bounding Box (AABB) to Oriented Bounding Box
  • intersection, testing / AABB-to-OBB, Getting ready, How to do it…, How it works…
• Axis Aligned Bounding Box (AABB) to plane
  • intersection, testing / AABB-to-plane, Getting ready, How it works…
• Axis Aligned rectanlge
  • about / Oriented rectangle
• axis angle rotation
  • about / Axis angle rotation, Getting ready, How it works…
• axis of intersection
  • about / Manifold for boxes

B

• Ball Joint / Joints
• barycentric coordinates
  • about / Raycast Triangle
• basis vectors
  • about / How rotations work
• Baumgarte Stabilization
  • about / Stability improvements
• bend springs
  • about / Cloth
• BoundingShape
  • about / Getting ready
• Bounding Volume Hierarchy (BVH)
  • about / Mesh optimization
• Box2D
  • about / Box2D
  • reference link / Box2D
• Box2D Lite
  • about / Open source physics engines, Box2D Lite
  • reference link / Box2D Lite
• broad-phase collision
  • about / Operations on the scene
• broad phase collision
  • about / Broad phase collisions, How to do it…, How it works…
• Bullet
  • about / Bullet
  • reference link / Bullet

C

• camera
  • building / Introduction
• camera class
  • creating / Camera object, How to do it…, How it works…
• Center of Mass
  • about / Centripetal Acceleration
• center point
  • about / Getting ready, Axis Aligned Bounding Box
• Centripetal Acceleration
  • about / Tangential Acceleration, Centripetal Acceleration
• circle
  • about / Circle, How it works…
• circle to circle
  • intersection, verifying / Circle to circle, How it works…
• circle to oriented rectangle
  • intersection, testing / Circle to oriented rectangle, Getting ready, How to do it…
• circle to rectangle
  • intersection, verifying / Circle to rectangle, How to do it…, How it works…
• Closest Point / Circle to rectangle, Getting ready, How to do it…, How it works…
• closest point
  • determining, of sphere / How it works…
  • determining, on AABB / How it works…
  • determining, on OBB / How it works…
  • determining, on plane / How it works…
  • determining, on line / How it works…
  • determining, on ray / How it works…
  • finding, on triangle / Closest point triangle, Getting ready, How to do it…, How it works…
• cloth
  • about / Cloth, Getting ready
  • creating / How to do it…, How it works…
  • adding, to Physics Sytem / Physics System Modification, How to do it…, How it works…
• co-directional
  • about / How it works…
• co-planar
  • about / Triangle
• Coefficient of Friction
  • about / Friction
• Coefficient of Restitution
  • about / Solving constraints, Linear Velocity, Linear Impulse
• cofactor of matrix
  • about / Cofactor
• collision
  • resolving / Collision resolution
• collision checks
  • implementing / Introduction
• Collision Manifold
  • about / Introduction, Manifold for spheres
  • finding, of sphere / Manifold for spheres, Getting ready, How to do it…, How it works…
  • finding, of OBB / Manifold for boxes, How to do it…, How it works…
  • reference link / There's more…
  • duplicate points / Duplicate points
• collision normal
  • about / Manifold for spheres
• collisions
  • about / Introduction
• Column Major matrix
  • about / Matrix majors
• complex shape
  • about / Simple and complex shapes, How it works…
• component-wise operations
  • about / Component-wise operations, How to do it…
  • addition / Addition
  • subtraction / Subtraction
  • multiplication (vector and scalar) / Multiplication (Vector and Scalar)
  • comparison / Comparison
• Configuration Space Object (CSO)
  • about / Minkowski Sum
• containing circle
  • about / Containing circle, Getting ready, How it works…
• containing rectangle
  • about / Containing rectangle, Getting ready, How it works…
• containment test
  • about / Point and Oriented Bounding Box
• Convex Hulls
  • about / There's more…
• Coulombs Law
  • about / How to do it...
• Cramers Rule
  • about / How to do it…
  • using / How it works…
  • reference link / How it works…
• cross product
  • about / Cross product, How to do it…, How it works…
• cross products
  • about / How it works…
• Cyclone Physics
  • about / Cyclone Physics
  • reference link / Cyclone Physics
• Cyrus-Beck clipping
  • about / How it works…

D

• 2D collisions
  • optimizing / Introduction
• 2D line
  • about / 2D lines, How to do it…
• 2D point
  • about / 2D points, How it works…
• 3D line segment
  • implementing / How to do it…
• 3D point
  • about / Point, Getting ready, How it works…
• 3D scene
  • about / The Scene object
  • implementing / How to do it…
• Dear IMGUI library
  • about / How it works…
  • reference link / There's more…
• determinant
  • finding, of 2x2 matrix / Determinant of a 2x2 matrix, How it works…
  • finding, of 3x3 matrix / Determinant of a 3x3 matrix, How it works…
• determinants
  • about / Determinant of a 2x2 matrix
• direction / Vector definition
• DirectX
  • about / Matrix majors, Projection matrix, How it works…
• Distance Joint / Joints
• dot product
  • about / Dot product, How to do it…, How it works…, There's more…
  • geometric definition / Geometric definition
• dyn4j
  • about / Dyn4j
  • reference link / Dyn4j

E

• End point
  • about / Line segment
• End Point
  • about / 2D lines
• epsilon test
  • about / How it works…
• Euler Integration
  • about / Integrating particles, How it works…, There's more…, Linear Velocity
• Expanding Polytope Algorithm (EPA)
  • about / Expanding Polytope Algorithm (EPA)
  • reference link / Expanding Polytope Algorithm (EPA)
• eye space
  • about / View matrix

F

• Field Of View (FOV)
  • about / Projection matrix
• Fixed Joint / Joints
• framework
  • about / Framework introduction, How to do it…, How it works…, There's more…
• Friction
  • about / Linear Velocity
• frustum
  • about / Frustum object
  • creating, from matrix / Frustum from matrix, How to do it…, How it works…
  • intersection tests, implementing for sphere / Getting ready, How to do it…, How it works…
  • OBB / Bounding Box in frustum, Getting ready, How to do it…, How it works…
• Frustum object
  • creating / Frustum object, Getting ready, How to do it…, How it works…
• Frustum primitive
  • about / Introduction

G

• game physics
  • references / Online resources
• generic cofactor function
  • implementing / Cofactor, How to do it…
• generic collisions
  • about / Generic collisions
  • Minkowski Sum / Minkowski Sum
  • GJK / Gilbert Johnson Keerthi (GJK)
  • EPA / Expanding Polytope Algorithm (EPA)
• generic Transpose function
  • implementing / Transpose, Getting ready, How to do it…, How it works…
• Gilbert-Johnson-Keerthi (GJK)
  • about / There's more…
• Gilbert Johnson Keerthi (GJK)
  • about / Generic collisions, Gilbert Johnson Keerthi (GJK)
  • reference link / Gilbert Johnson Keerthi (GJK)
  • implementing / Gilbert Johnson Keerthi (GJK)
• Gimbal Lock
  • about / How rotations work, Axis angle rotation
• GLAD OpenGL Loader
  • about / There's more…
  • reference link / There's more…
• ground clamping
  • about / Introduction

H

• half-extents
  • about / Getting ready, Axis Aligned Bounding Box
• Hinge Joint / Joints
• Hookes Law
  • about / Springs

I

• identity matrix
  • about / Identity matrix, Getting ready, How to do it…, How it works…
• Impulses
  • about / Linear Impulse
  • reference link / There's more...
• Inertia Tensor
  • about / Inertia Tensor
• Infinite Subdivision
  • about / Quad tree
• Integration
  • about / Integrating particles

J

• JigLib
  • about / JigLib
  • reference link / JigLib
• joint
  • about / Joints, How to do it…, How it works…
• joint, types
  • Distance Joint / Joints
  • Ball Joint / Joints
  • Hinge Joint / Joints
  • Slider Joint / Joints
  • Fixed Joint / Joints
  • Motor Joint / Joints

L

• Laplace Expansion
  • about / Determinant of a 2x2 matrix, Determinant of a 3x3 matrix, How it works…
• Lateral Axis
  • about / How rotations work
• Left Handed Coordinate System
  • about / Projection matrix
• length of vector
  • about / Magnitude
• line
  • about / 2D lines, Line segment
  • point tests, implementing / Point and line, Getting ready, How it works…
• Linear Algebra
  • about / Introduction
  • reference link / Introduction
• Linear Impulse
  • about / Introduction, How to do it...
  • using / Linear Impulse, How to do it...
  • finding / Linear Impulse
  • friction / Friction, There's more...
• Linear Projection
  • about / Physics System Update, How it works...
• linear transformation
  • about / Rotation matrices
• Linear Velocity
  • about / Linear Velocity, How to do it..., How it works...
• line intersection
  • about / Line intersection, How to do it…
  • line circle / Line circle
  • line rectangle / Line rectangle
  • line oriented rectangle / Line oriented rectangle
• Line Segment
  • about / 2D lines, Line segment, Getting ready
• Linetest function
  • implementing, on sphere / Linetest Sphere, Getting ready
  • implementing, on AABB / Linetest Axis Aligned Bounding Box, Getting ready, How it works…
  • implementing, on OBB / Linetest Oriented Bounding Box, How it works…
  • implementing, against plane / Linetest Plane, How to do it…, How it works…
  • implementing / Linetest Triangle
• line to triangle
  • intersection, verifying / Linetest Triangle, How to do it…
• Longitudinal Axis
  • about / How rotations work

M

• magnitude / Vector definition
  • about / Magnitude, How it works…, There's more…
• Matrices
  • about / Introduction
• matrix
  • definition / Matrix definition, How to do it…, How it works…
  • multiplication / Multiplication, How to do it…, How it works…
  • using / Introduction
  • frustum, creating / Frustum from matrix, How to do it…, How it works…
• matrix inverse
  • about / Matrix inverse, How it works…
  • expanding / Expanding the inverse
• matrix majors
  • Row Major Matrix / Matrix majors
  • Column Major Matrix / Matrix majors
  • Row Major matrix / Matrix majors
  • Column Major matrix / Matrix majors
• mesh
  • about / Mesh object
  • implementing / How to do it…, How it works…
  • optimization / Mesh optimization, How to do it…, How it works…
  • intersection tests, implementing / Mesh operations, How to do it…, How it works…
• mesh object
  • about / Mesh object
• Minkowski Addition
  • about / Minkowski Sum
• Minkowski Difference
  • about / Minkowski Sum
• Minkowski Sum
  • about / Generic collisions, Minkowski Sum
• minor function
  • implementing / Matrix of minors, How to do it…, How it works…
  • of 2x2 matrix / Minor of a 2x2 matrix
  • of 3x3 matrix / Minor of a 3x3 matrix
• MIT License
  • about / There's more…
• Model class
  • intersection tests, implementing / How to do it…
• Model object
  • about / The Model object, How to do it…
• models
  • operations / Operations on models, Getting ready, How to do it…, How it works…
• moment of inertia
  • reference link / Inertia Tensor, Tensors
• Motor Joint / Joints
• mutator function
  • about / Linear Velocity

N

• n-tuple
  • about / Vector definition
• Newtons Laws of Motion
  • about / Integrating particles
• normalizing
  • about / Normalizing, How to do it…
• normals
  • about / Plane-to-plane
• normal vector
  • about / Normalizing

O

• Octree
  • about / The Octree object
  • implementing / How to do it…
  • support functions, implementing / Octree contents, How to do it…, How it works…
  • operations / Operations on the Octree, How to do it…, How it works…
  • integration, into scene / Getting ready, How to do it…, How it works…
• Octree acceleration structure
  • about / Introduction
• Octree culling
  • about / Octree culling, How to do it…, How it works…
• Octree object
  • about / The Octree object, How to do it…, How it works…
• Open Dynamics Engine (ODE)
  • about / ODE
  • reference link / ODE
• OpenGL
  • about / Matrix majors, Projection matrix, How it works…, There's more…
  • reference link / There's more…
• open source physics engines
  • about / Open source physics engines
  • Box2D Lite / Box2D Lite
  • Box2D / Box2D
  • dyn4j / Dyn4j
  • Bullet / Bullet
  • ODE / ODE
  • JigLib / JigLib
  • react3D / React 3D
  • qu3e / Qu3e
  • Cyclone Physics / Cyclone Physics
• operations
  • implementing, on 4x4 matrix / Operations on a 4x4 matrix, How to do it…
  • on models / Operations on models, Getting ready, How to do it…, How it works…
  • on scene / Operations on the scene, How to do it…, How it works…
  • on Octree / Operations on the Octree, How to do it…, How it works…
• Orbital Camera
  • creating / Camera controls, Getting ready, How to do it…, How it works…
  • about / Camera controls
• Oriented Bounding Box (OBB)
  • about / Oriented Bounding Box, Getting ready, Point and Oriented Bounding Box, Sphere-to-OBB, Introduction, Triangle to Oriented Bounding Box, Getting ready, How to do it…, Getting ready, Bounding Box in frustum
  • point tests, implementing / Point and Oriented Bounding Box, How to do it…, How it works…
  • raycast, implementing / Raycast Oriented Bounding Box, How to do it…, How it works…
  • Linetest function, implementing / Linetest Oriented Bounding Box, How it works…
  • in frustum / Bounding Box in frustum, Getting ready, How to do it…, How it works…
  • Raycast function, updating / Raycast Bounding Box, How to do it…, How it works…
  • Collision Manifold, finding / Manifold for boxes, How to do it…, How it works…
• Oriented Bounding Box (OBB) to Oriented Bounding Bob (OBB)
  • intersection, testing / OBB-to-OBB, How to do it…
• Oriented Bounding Box (OBB) to plane
  • intersection, testing / OBB-to-plane, How to do it…, How it works…
• oriented rectangle
  • about / Oriented rectangle, How it works…
• oriented rectangle to oriented rectangle
  • intersection, testing / Oriented rectangle to oriented rectangle, Getting ready, How it works…
• ortho-normal
  • about / Camera object
• ortho-normal matrix
  • about / Getting ready
• orthogonal camera
  • about / Camera object
• orthogonal vectors
  • about / Camera object
• orthographic projection
  • about / Projection matrix

P

• particles
  • integrating / Integrating particles, How to do it…, How it works…
  • modifications / Particle Modifications, Getting ready, How to do it…, How it works…
• penalty based collision resolution
  • about / Collision resolution
• penalty force
  • about / Collision resolution
• penetration distance
  • about / Manifold for spheres
• Perpendicular Axis
  • about / How rotations work
• perspective projection
  • about / Projection matrix
• Physics Scene
  • about / The Scene object
• Physics System
  • about / Introduction
  • implementing / Physics system, Getting ready, How to do it…, How it works…
  • updating / Physics System Update, How to do it..., How it works...
  • reference link / How it works...
  • modification, for adding cloth support / Physics System Modification, How to do it…, How it works…
• picking
  • implementing / Picking, Getting ready, How to do it…, There's more…
• pitch
  • about / How rotations work
• plane
  • about / Plane, Getting ready
  • point tests, implementing / Point and plane, How to do it…
  • raycast, implementing / Raycast plane, How to do it…, How it works…
  • Linetest function, implementing / Linetest Plane, How to do it…, How it works…
• plane equation
  • about / Plane
• planes
  • Raycast function, updating for planes / Raycast plane and triangle
  • Raycast function, updating / How to do it…, How it works…
• plane to plane
  • intersection, testing / Plane-to-plane
• point
  • about / Vector matrix multiplication, 2D points
  • implementing, in triangle / Point in triangle, How to do it…, How it works…
• point containment
  • about / Point containment, How to do it…
  • point on line / Point on a line
  • point in circle / Point in a circle
  • point in rectangle / Point in a rectangle
  • point in oriented rectangle / Point in an oriented rectangle
• point mass system
  • about / Particle Modifications, Cloth
• point tests
  • implementing, for sphere / Point and sphere, Getting ready, How to do it…
  • implementing, for AABB / Point and AABB, Getting ready, How to do it…, How it works…
  • implementing, for OBB / Point and Oriented Bounding Box, How to do it…, How it works…
  • implementing, for plane / Point and plane, How to do it…
  • implementing, for line / Point and line, Getting ready, How it works…
  • implementing, for ray / Point and ray, Getting ready, How to do it…
• Post Multiplication
  • about / Vector matrix multiplication
• Pre Multiplication
  • about / Vector matrix multiplication
• Projection
  • about / Picking
• projection
  • about / Projection, Getting ready, How it works…
• projection matrix
  • about / Projection matrix, How it works…, Introduction
  • orthographic projection / Projection matrix
  • perspective projection / Projection matrix
  • reference link / Projection matrix
• Purplemath
  • reference link / Introduction

Q

• qu3e
  • about / Qu3e
  • reference link / Qu3e
• quad tree
  • about / Quad tree, How to do it…, How it works…
• Quaternion
  • about / There's more...
  • reference link / There's more...
• querying
  • about / Operations on the scene

R

• radians
  • reference link / Radians and degrees
• radius
  • about / Circle
• ray
  • about / Ray, How it works…
  • point tests, implementing / Point and ray, Getting ready, How to do it…
• Raycast function
  • updating, for AABB / Raycast Bounding Box, How to do it…, How it works…
  • updating, for OBB / Raycast Bounding Box, How to do it…, How it works…
  • updating, for triangles / Raycast plane and triangle, How to do it…, How it works…
  • updating, for planes / Raycast plane and triangle, How to do it…, How it works…
• raycasting
  • implementing, against sphere / How to do it…, How it works…
  • implementing, against AABB / Raycast Axis Aligned Bounding Box, How to do it…, How it works…
  • implementing, against OBB / Raycast Oriented Bounding Box, How to do it…, How it works…
  • implementing, against plane / Raycast plane, How to do it…, How it works…
  • triangle / Raycast Triangle, How to do it…, How it works…
  • about / How to do it…, Operations on the scene
• RaycastSphere function
  • updating / Raycast sphere, How to do it…, How it works…
• react3D
  • about / React 3D
  • reference link / React 3D
• rectangle
  • about / Rectangle, How to do it…
• rectangle to oriented rectangle
  • intersection, testing / Rectangle to oriented rectangle, Getting ready, How to do it…, How it works…
• rectangle to rectangle
  • intersection, testing / Rectangle to rectangle, Getting ready, How it works…
• reflection
  • about / Reflection, Getting ready, How it works…
• Relative Normal
  • about / Linear Impulse
• relative tolerance
  • about / Comparison
  • reference link / Comparison
• Relative Velocity
  • about / Linear Impulse
• Render Scene
  • about / The Scene object
• Resting Length
  • about / Springs
• restoring force
  • about / Springs
• Right Handed Coordinate System
  • about / Projection matrix
• rigidbody
  • about / Physics system
  • modifications / Rigidbody Modifications, How it works…
• roll
  • about / How rotations work
• rotation
  • working / How rotations work, How to do it…
• Rotation
  • about / Oriented rectangle
• rotation matrices
  • about / Rotation matrices, How to do it…, How it works…
  • X-Basis vector / X-Basis vector
  • Y-Basis vector / Y-Basis vector
  • Z-Basis vector / Z-Basis vector
  • X rotation / X and Y rotation
  • Y rotation / X and Y rotation
• Row Major matrix
  • about / Matrix majors
• runtimes
  • reference link / Generic collisions

S

• scalar multiplication
  • about / Multiplication
• scalar product
  • about / Dot product
• scale
  • about / Scaling
• scale factor
  • about / The Model object
• scaling
  • about / Scaling, Getting ready, How it works…
• scene
  • raycasting operation / Operations on the scene, How to do it…, How it works…
  • querying operation / Operations on the scene, How to do it…, How it works…
  • Octree, integration / Octree scene integration, How to do it…, How it works…
• Scene object
  • about / The Scene object, How to do it…, There's more
• Separating Axis Theorem
  • implementing, for robustness / Robustness of the Separating Axis Theorem, Getting ready, How to do it…, How it works…
• Separating Axis Theorem (SAT) / Introduction
  • about / Separating Axis Theorem, How to do it…, How it works…, AABB-to-OBB, How it works…, Generic collisions
  • axis, determining to test / Determining which axis to test
• set of contact points
  • about / Manifold for spheres
• shear springs
  • about / Cloth
• signed displacement / Vector definition
• simple shape
  • about / Simple and complex shapes, How to do it…
• sinking
  • about / Physics System Update
• slab tests
  • about / How it works…
• Slider Joint / Joints
• slop
  • adding / Stability improvements
• slope intercept form
  • about / 2D lines, How to do it…
• soft body
  • about / Cloth
• soft body objects
  • about / Softbody objects
• SOH-CAH-TOA
  • about / There's more…
• SolveConstraints method
  • implementing / Solving constraints, How to do it…, How it works…
• sphere
  • about / Sphere, Getting ready, How it works…
  • point tests, implementing / Point and sphere, Getting ready, How to do it…
  • raycast, implementing / How to do it…, How it works…
  • Linetest function, implementing / Linetest Sphere, Getting ready
  • intersection tests, implementing against frustum / Getting ready, How to do it…, How it works…
  • Collision Manifold, finding / Manifold for spheres, Getting ready, How to do it…, How it works…
• sphere to Axis Aligned Bounding Box (AABB)
  • intersection, testing / Sphere-to-AABB, Getting ready
• sphere to Oriented Bounding Box (OBB)
  • intersection, testing / Sphere-to-OBB, How to do it…, How it works…
• sphere to plane
  • intersection, testing / Sphere-to-plane, How to do it…
• sphere to sphere
  • intersection, testing / Sphere-to-sphere, How it works…
• springs
  • about / Springs, How to do it…, How it works…, Springs
  • collision, resolving / Collision resolution
  • soft body objects / Softbody objects
• springs Equilibrium
  • about / Springs
• square matrix
  • about / Matrix definition
• stability improvements
  • about / Stability improvements
  • arbiter / Arbiters
  • accumulated impulses / Accumulated impulse
• Start Point
  • about / 2D lines
• Start point
  • about / Line segment
• structural springs
  • about / Cloth
• support function
  • about / Generic collisions
• symmetric matrix
  • reference link / How it works…

T

• Tangential Acceleration
  • about / Tangential Acceleration
• tensors
  • about / Tensors
  • reference link / Tensors
• Tiny OBJ Loader
  • reference link / There's more…
• Torque
  • about / Torque
• transform matrix
  • about / Transform matrix, Getting ready, How it works…
• translation
  • about / Translation, Getting Ready, How it works…
• triangle
  • about / Triangle, How to do it
  • point, implementing in / Point in triangle, How to do it…, How it works…
  • closest point, finding / Closest point triangle, Getting ready, How to do it…, How it works…
  • raycasting / Raycast Triangle, How to do it…, How it works…
• triangles
  • Raycast function, updating for planes / Raycast plane and triangle
  • Raycast function, updating / How to do it…, How it works…
• triangle to Axis Aligned Bounding Box (AABB)
  • intersection, verifying / Triangle to Axis Aligned Bounding Box, Getting ready, How to do it…
• triangle to Oriented Bounding Box (OBB)
  • intersection, verifying / Triangle to Oriented Bounding Box, Getting ready, How to do it…
• triangle to plane
  • intersection, verifying / Triangle to plane, How to do it…
• triangle to sphere
  • intersection, verifying / Triangle to sphere, How to do it…
• triangle to triangle
  • intersection, verifying / Triangle to triangle, Getting ready, How to do it…, How it works…
• tunneling
  • about / How it works…
• tuple
  • about / Vector definition

U

• unit length
  • about / Normalizing
• unit vector
  • about / Normalizing
• Unprojection
  • about / Picking

V

• vector
  • about / Introduction, Vector matrix multiplication
  • definition / Vector definition, Getting ready, How it works…
  • direction / Vector definition
  • magnitude / Vector definition
  • W component / The W component
• vector equality / Component-wise operations
• vector matrix multiplication
  • about / Vector matrix multiplication, How to do it…, How it works…
• Velocity Verlet Integration
  • about / There's more…
  • using / Verlet Integration, How to do it…, How it works…
• view matrix
  • about / View matrix, How it works…, Introduction
• View Transform matrix
  • about / Getting ready

W

• W component / The W component
• world transform
  • about / Camera object

X

• 2x2 matrix
  • determinant, finding / Determinant of a 2x2 matrix, How it works…
• 3 X 3 Rotation Matrix
  • about / How rotations work
• 3x3 matrix
  • determinant, finding / Determinant of a 3x3 matrix, How it works…
• 4x4 matrix
  • operations, implementing / Operations on a 4x4 matrix, How to do it…

Y

• yaw
  • about / How rotations work