Question

Let u = <4, 3>. Find the unit vector in the direction of u, and write your answer in component form. helpppp

Answer 1

So we're given \(\large \vec u\) and we want to find a UNIT vector in the direction of u.

So we want to find \(\large \hat u\). The "hat" is to show that it's a unit vector.

Recall some simple math.
What happens if you take a value, and divide it by itself?
Example: If we have a board of length 2, and divide it by 2, it gives us 1 right?

So that's what we're going to want to do here.
We want to find the MAGNITUDE (length) of U.

Then we'll divide U by that length! :D