Thread: Proving that vector addition is associative

Complete the following non diagram proof that vector addition is associative:

For all points P, Q, R, S, (PQ + QR) + RS = PR + ...........
...........
...........
= PQ + (QR + RS)

Note that all the letters ie 'PQ' etc have an arrow above them --->, not a single one for all, but one above each letter pair.

What is your definition of vector addition?

Originally Posted by brumby_3

Complete the following non diagram proof that vector addition is associative:

For all points P, Q, R, S, (PQ + QR) + RS = PR + ...........
...........
...........
= PQ + (QR + RS)


Note that all the letters ie 'PQ' etc have an arrow above them --->, not a single one for all, but one above each letter pair.

You are simply adding the individual components (x,y,z etc) so its simply a case that addition is associative.

Nevermind, I understand now, thanks