Question

Suppose u and v are vectors in space such that |u|= |v|. What can you say about the angle
between the vectors u + v and u - v ?

Answer 1

I know that they will both have the same magnitude/length.

Answer 2

Is there anything else?

Answer 3

Draw yourself some diagrams and see if you can find a good hypothesis. Once you have it, I (or someone else) will tell you if you're right.

Answer 4

...and give you the formal proof.

Answer 5

and u-v?

Answer 6

This maybe: