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, | a + b |=| a - b | On squaring both sides, we get | a + b |²=| a - b |² | a |²+ . | b ²+2 a b = | a |²+| b |²-2 a b 4 a b =0 a b =0 a and b are perpendicular to each other. So, angle between them is 90^ . Alternative | a + b |=| a - b | a and b are perpendicular to each other So, angle between a and b is 90^ . So, angle between them is 90^ . Alternative a and b are perpendicular to each other So, angle between a and b is 90^ .