Question

Vector a, with a magnitude of 22 units, points in the positive x direction. adding vector b to vector a yields a resultant vector that points in the negative x direction with a magnitude of 5 units. what are the magnitude and direction of vector b? ounterclockwise from the +x axis

Answer 1

The distance from x = +22 to x = -5 is
(-5 - 22) = -27.
The vector must be 27 units in the negative-x direction.

The vector b has a magnitude of 27 and an angle of 180°.