Demonstrate that the proyection of a vector U over a vector V is parallel to the vector the vector U.

Question

Demonstrate that the proyection of a vector U over a vector V is parallel to the vector the vector U.

I used the formula of proyection and I argued that as the final result is a number multiplied by the vector U then it is parallel. I need help to verify is this is correct. Thank you.

Answer 1

Demonstrate that the proyection of a vector U over a vector V is parallel to the vector the vector U.

any scalar multiple of a vector u is parallel to u.