Question

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

Answer 1

I'm going to write the unit vector as ^u (u hat)

Answer 2

First find L:
L = sqrt((-4)^2 + (-3)^2) = sqrt(16+9) = sqrt(25) = 5

Answer 3

is that a formula?

Answer 4

Unit vector is simply:
(1/L)*u = (1/5)*<-4,-3> = <-4/5; -3/5>

Answer 5

yea the formula is basically: L = sqrt(x_comp^2 + y_comp^2 + x_comp^2 .. )

Answer 6

thank you so much can you hep me on one more pls?

Answer 7

Given that P = (5, 9) and Q = (13, 12), find the component form and magnitude of PQ (arrow on top)

Answer 8

If I remember how to do those.

Answer 9

i have to use the formula right?

Answer 10

well now we have to find the magnitude and the direction of the vector. Magnitude is pretty simple, it's just the length: