Help With Vectors in Plane

[Peterson25]

Hi, I'm having some issues understanding a certain question in my homework.

"Find the component form of the vector v with magnitude 10 that "goes in the same direction" as the vector u = <2,5>. State the components exactly (using simplest radical form if appropriate)."

I have no idea where to start! It would be fantastic if someone could show me the work and explain how they derived the answer.

Thanks in advance.

 

[pka]

This is all you need to do.
\(\displaystyle \L v = \frac{{10}}{{\left\| u \right\|}}u\)

Can you explain why?