My friend asked me to help him with his homework, and I think I might have forgotten how to do it

They were all like

"Find a vector with given magnitude and in the same direction as the given vector"

So I think what you would do is this

Given the position vector

and the new vector in the same position must be of magnitude

Would I just do this

the new vector must be of the form

where

is an abritrary constant, so now I just have to find that constant such that the new magnitude is

Would I do this by solving

For

?