Find the vector v with the given magnitude and the same direction as u.

Question

Magnitude: ||v|| = 15

Direction: u = 4i - 5j

v = _______

Answer 1

v = <60√41 / 41, 75√41 / 41>

Answer 2

For the direction of v, tan(θ) = -5/4

cos(θ) = 4/√41 sin(θ) = -5/√41

v = 15cos(θ)i + 15sin(θ)j

= 15(4/√41)i - 15(5/√41)j = 60/√41i - 75/√41j