Question

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

Answer 1

hoWWWWW

Answer 2

first find the magnitude of the vector u

Answer 3

so, what is the magnitude of vector u?

Answer 4

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

Answer 5

wait what

Answer 6

5

Answer 7

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.

Answer 8

wait so

Answer 9

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

Answer 10

yes, that is correct.