Vector-valued Function: Function (mathematics), Real Number, Unit Vector, Cartesian Coordinate System, Parametric Equation, Intersection (set theory), Direction Cosine -
Vector-valued Function: Function (mathematics), Real Number, Unit Vector, Cartesian Coordinate System, Parametric Equation, Intersection (set theory), Direction Cosine
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A vector-valued function is a mathematical function which depends on a single real number parameter t, often representing time, producing a vector v(t) as the result. Whereas for scalar-valued functions there is only a single possible reference frame, to take the derivative of a ve ...Full description
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A vector-valued function is a mathematical function which depends on a single real number parameter t, often representing time, producing a vector v(t) as the result. Whereas for scalar-valued functions there is only a single possible reference frame, to take the derivative of a vector-valued function requires the choice of a reference frame (at least when a fixed Cartesian coordinate system is not implied as such). Once a reference frame has been chosen, the derivative of a vector-valued function can be computed using techniques similar to those for computing derivatives of scalar-valued functions. A different choice of reference frame will, in general, produce a different derivative function. The derivative functions in different reference frames have a specific kinematical relationship.