Question

A diagram has vector A at 30 degrees above the positive x axis. length = 3 m

Vector B is ON the negative x-axis. length = 1 m

Vector C is ON the negative y-axis. Length is 2 m

What is the direction in degrees of vector a + vector B + vector C?

Answer 1

In x direction: 3 cos 30 - 1 = 1.6
In y direction: 3 sin 30 - 2 = 1.5-2 = -.5

tan^-1 (-.5/1.6) = - 17.35 degrees

or east 17.35 deg south