After foiling the left side of the equation you get, A^2 + 2AB + B^2 = A^2 + B^2 so in order for that to be true, the middle term (2AB) must be zero which means either A, B, or both must be 0. Unless you're not allowed to foil out the equation in this scenario for some reason, I don't...
Homework Statement
If magnitude (absolute value) of vectors ( A + B ) ^2 = A^2 + B^2 then:
a) A and B must be parallel and in the same direction
b) A and B must be parallel and in opposite directions
c) it must be true that either A or B is zero
d) the angle between A and B must be 60...