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

1. xapproachesinfinity

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

2. xapproachesinfinity

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

3. xapproachesinfinity

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

4. xapproachesinfinity

we just need to simplify that and done!

5. egbeach

Thank you so much! @xapproachesinfinity

6. xapproachesinfinity

np!

7. xapproachesinfinity

i guess you can do the rest yes?

8. egbeach

yep!