c=|a|b+|b|a where a,b, and c are all non zero vectors, show that c bisects the angle between a and b
The Attempt at a Solution
I'm taking the approach to prove that the angle between b and c= the angle between c and a
I have written the fact that a[itex]\bullet[/itex]b=|a||b|cos [itex]\theta[/itex]
However, I'm not sure how I can work the equation for c to be able to apply the identity.