Vector A points in the negative x direction. Vector B points at an angle of 27.0 degress above the positive x axis. Vector C has a magnitude of 20 m/s and points in a direction 39.0 degress below the positive x axis.

Question

Vector A points in the negative x direction. Vector B points at an angle of 27.0 degress above the positive x axis. Vector C has a magnitude of 20 m/s and points in a direction 39.0 degress below the positive x axis.
Given that A+B+C=0, find the magnitudes of A  and B.

dongo · Answer

A = a*(-1, 0)^T B = b*(cos(27°), sin(27°))^T C = 27*(cos(39°), -sin(29°))^T By using the identity imposed on us by the task, we immediately obtain the result by solving the emerging L.E.S..