If a and b are vectors such that |a b|=|a-b| , then the angle between a and b is

Step-by-step solution

We have, aligned & &|a+b| &=|a-b| & &|a+b|² &=|a-b|² & &(a+b) (a+b) &= a-b) (a-b) & &|a|²+|b|²+2 a b &=|a|²+|b|²-2 a b & & 4 a b &=0 & & a b &=0 & & a & b aligned So, angle between a and b is 90^ .