The magnitude of the sum of the two vectors A and B is equal to the magnitude of the difference of two vectors A and B . The angle between A and B is

Step-by-step solution

Let the two vectors be A and B with magnitudes A and B respectively. Then magnitude of their sum is given by: | A + B |= A²+B²+2 A B (1)( = angle between the vectors ) Magnitude of their difference is given by: | A - B |= A ²+ B ²-2 AB (2) As | A + B |=| A - B | A ²+ B ²+2 AB = A ²+ B ²-2 AB 4 AB =0 or =0 =90^ .