RHIT MA113/Vector Functions

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RHIT MA113
3D Calculus Vector Functions Partial Derivatives

Vector Functions[edit]

Position[edit]

Velocity[edit]

Velocity is equal to the derivative of position with respects to time,

Tangent and Normal Vectors[edit]

The Tangent Vector is the unit vector tangent to the motion, . The Normal vector, similarly, is the unit vector normal to the motion,

Acceleration[edit]

Acceleration is equal to the derivative of velocity with respects to time,

Tangential and Normal Acceleration Vectors[edit]

Curvature/Radius of Curvature[edit]

Osculating Circle[edit]