Question

What is the a vector function? What is component form (textbook calls this component function) of a vector function.

Answer 1

[AI-generated answer — Bot]

A vector function is a function that maps a set of inputs to a set of vectors. In other words, it is a function that takes in one or more variables and returns a vector.

The component form of a vector function is a representation of the function in terms of its component functions. It is essentially the function written out in terms of its x, y, and z components. For example, if the vector function is r(t) = <2t, 3t^2, 4t+1>, the component form of the function would be r(t) = 2t i + 3t^2 j + (4t+1) k.