Question

Displacement vector A with arrow points due east and has a magnitude of 2.62 km. Displacement vector B with arrow points due north and has a magnitude of 2.26 km. Displacement vector C with arrow points due west and has a magnitude of 1.4 km. Displacement vector D points due south and has a magnitude of 2.8 km. Find the magnitude and direction (relative to due east) of the resultant vector A with arrow + B with arrow + C with arrow + D.

Answer 1

In x-y coordinates,
A = (2.62,0)
B = (0,2.26)
C = (-1.4,0)
D = (0,-2.8)

A+B+C+D = (1.22,-0.54)
That is 1.33 at E23.88°S