Let u = . Find the unit vector in the direction of u, and write your answer in component form.

Question

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

bahrom7893 · Answer

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

bahrom7893 · Answer

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

anonymous · Answer

is that a formula?

bahrom7893 · Answer

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

bahrom7893 · Answer

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

anonymous · Answer

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

anonymous · Answer

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

bahrom7893 · Answer

If I remember how to do those.

bahrom7893 · Answer

|dw:1371004746486:dw|

anonymous · Answer

i have to use the formula right?

bahrom7893 · Answer

well now we have to find the magnitude and the direction of the vector. Magnitude is pretty simple, it's just the length:
|dw:1371004912116:dw|