Vector Addition by Components

Resolve each vector into horizontal (E–W) and vertical (N–S) components, add the components, then recombine. Bearings are relative bearings, e.g. N30°E.

Vector A

A =

Vector B

B =

Sign convention: east and north are positive. Vectors are drawn tip to tail (B starts at the tip of A). Magnitudes are in arbitrary units.

Worked solution