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

1. anonymous

hoWWWWW

2. Vocaloid

first find the magnitude of the vector u

3. Vocaloid

|dw:1443657599182:dw|

4. Vocaloid

so, what is the magnitude of vector u?

5. amistre64

if an object is 10 units long, then 1/10th of it is 1 unit long if an object is 3 units long, then 1/3rd of it is 1 unit long if an object is 1/5 units long, then 5/1ths of it is 1 unit long if an object is L units long, then 1/Lth of it is 1 unit long

6. anonymous

wait what

7. anonymous

5

8. SolomonZelman

If, $$\Large\color{black}{ \displaystyle \vec{v}= \langle a,b\rangle }$$ Then, the unit vector in direction of v is, $$\Large\color{black}{ \displaystyle \langle \frac{a}{\left|\vec{v}\right|},{~}\frac{b}{\left|\vec{v}\right|}\rangle }$$ (divide each component by the vector's magnitude.

9. anonymous

wait so

10. anonymous

-4/5,-3/5 ????

11. SolomonZelman

yes, that is correct.