Question

True or False: if "u" is a unit vector in the direction of "v", then v=||v||u.

Answer 1

You can prove it.

Answer 2

so its true?

Answer 3

Divide both sides by \(\|\mathbf v\|\)

Answer 4

\[
\frac{\mathbf v}{\|\mathbf v\|} = \mathbf u
\]

Answer 5

We know that \(\|\mathbf v\| \neq 0\) because \(\mathbf 0\) has no direction.

Answer 6

I'm helping a friend with her homework...so i kinda don't know anything about this stuff personally...i'm just helping her out so i really can't add on to the question...sorry

Answer 7

your friend should be on the site...

Answer 8

Ask you friend if they know the formula for unit vector. Then then tell them to multiply both sides by the magnitude. Say this verbatim.