Vector A has a magnitude of 7 and is at an angle of 22.5 degrees measured counter-clockwise from the x axis. Vector B has a magnitude of 12 and is at an angle of 110.4 degrees measured counter-clockwise from the x axis. Vector C has a magnitude of 6 and is at an angle of 180 degrees measured counter-clockwise from the x axis. Lastly, Vector D has a magnitude of 17 and is at an angle of 280.1 degrees measured counter-clockwise from the x axis. If R = A - B - C + D, find the magnitude of R.

Question

Vector A has a magnitude of 7 and is at an angle of 22.5 degrees measured counter-clockwise from the x axis. Vector B has a magnitude of 12 and is at an angle of 110.4 degrees measured counter-clockwise from the x axis.  Vector C has a magnitude of 6 and is at an angle of 180 degrees measured counter-clockwise from the x axis.  Lastly, Vector D has a magnitude of 17 and is at an angle of 280.1 degrees measured counter-clockwise from the x axis.  If R = A - B - C + D, find the magnitude of R.