Question

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

Answer 1

the unit vector is found this way \(\Huge \vec{a}=\frac{\vec{u}}{||\vec{u}||}\)
where is a is our unit vector

Answer 2

||u|| is the magnitude of u
found by this \(\Huge ||\vec{u}||=\sqrt{(-4)^2+(-3)^2}\)

Answer 3

So \(\huge \vec{a}=\frac{<-4,-3>}{\sqrt{(-4)^2+(-3)^2}}\)

Answer 4

we just need to simplify that and done!

Answer 5

Thank you so much! @xapproachesinfinity

Answer 6

np!

Answer 7

i guess you can do the rest yes?

Answer 8

yep!