Question

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

Answer 1

@ganeshie8
@Directrix

Answer 2

@agent0smith

Answer 3

@ganeshie8

Answer 4

Find the magnitude.

Divide the x and y components by said magnitude.

That's your unit vector.

Answer 5

Indeed^

\[\large u = <u_x, u_y>\]
\[\large ||u|| = \sqrt{(u_x)^2 + (u_y)^2}\]
\[\large \hat{u} = \frac{<u_x,u_y>}{||u||} = <\frac{u_x}{||u||}, \frac{u_y}{||u||}>\]

Answer 6

U know u is a vector

Answer 7

X component of u vector is =-4

Answer 8

Y component of u vector is=-3

Answer 9

i is unit vector along x axis

Answer 10

j is unit vector along y axis

Answer 11

So vector u=-4i-3j
Right?

Answer 12

Can u tell me the unit vector along vector u=?