How do I do vector subtraction?

1 Answer
Dec 30, 2014

Given two vectors vecv and vecw you have:
vecv-vecw=vecv+(-vecw)

Graphically we can use the Parallelogram Law:
enter image source here

If you have the vectors in components form you again use:
vecv-vecw=vecv+(-vecw) operating on each set of corresponding components.

For example:
vecv=4veci+2vecj-5veck and:
vecw=-2veci+4vecj+veck

vecv-vecw=vecv+(-vecw)=[4+(2)]veci+[2+(-4)]vecj+[-5+(-1)]veck=
=6veci-2vecj-6veck