What is the angle between resultant of A + B and A B ?

Step-by-step solution

Given, Two vectors A and B. A and B are two vectors. So, their sum A + B lies in the same plane where A and B lie (Since they are non -parallel so they define a plane and the cross product between them is not zero.) A B =| A || B | n , where is the angle between A & ~B and n is the unit vector perpendicular to the plane containing A & B. So, the angle between ( A + B ) and ( A B ) is 90^ . Mathematically, | A + B | A B | =( A + B ) ( A B )=A (A B)+B (A B)=B (A A)+A (B B)=0+0