Question

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

Answer 1

if \(\large u =\langle u_1, u_2 \rangle\)
then \(\large \frac{1}{|u|}\langle u_1, u_2\rangle\) is the unit vector in the direction of u :)
Just multiply the vector with the scalar 1/|u|

Answer 2

<-4/5, -3/5>?

Answer 3

Looks correct to me :)

Answer 4

Thanks :)

Answer 5

You can always check if it's an unit vector by calculating the magnitude:
sqrt((-4/5)^2 + (-3/5)^2) = sqrt(16/25 + 9/25) = sqrt(1) = 1