If A + B = C and that C is perpendicular to A . What is the angle between A and B , if | A |=| C | ?

Step-by-step solution

Given, A+B=C and B = C - A Since, C A , therefore B^2=C^2+A^2 Also, | C |=| A | , therefore B^2=2 A^2 B= 2 A Now, A^2+B^2+2 A B =C^2=A^2 =- 1 2 This gives = 3 4 rad