Im working on a vector proof as follows:
u and v are vectors in R3.
Prove that |u|v + |v|u bisects the angle between u and v.
I have tried looking at the dot product formula cos(theta) = u.v/|v||u| but I am a bit stuck.
I figure I need to be dividing through by the magnitudes of theses vectors to give me unit vectors but not quite sure how to go about things.
Any help would be greatly appreciated, thanks