Question

How do you find a vector of length 10 in the direction of v= <3,-2>?

Answer 1

Do you know how to find a unit vector in that direction?

Answer 2

v/|v| but i dont know what that means

Answer 3

You don't know what that formula means or you don't know how that helps?

Answer 4

I don't know what it means, I assume the |v| is the magnitude so 3^2+-2^2=13 but i dont know v

Answer 5

Correct. \(\mathbf{v}\) is just your \(\langle 3, -2 \rangle\), so a unit vector (vector of length 1) in the direction of \(\mathbf{v}\) is \(\langle 3/13, -2/13\rangle\). So if we want a vector of length 10, what do you think we do?

Answer 6

multiply by 10?

Answer 7

thanks

Answer 8

Perfect.