What will be the angle between (A+B) vector and (A*B) vector - Physics - Basic Mathematics(Pre-requisite)

Question

What will be the angle between (A+B) vector and (A*B) vector?

Sanat K Mukherjee · Accepted Answer

Dear Student,
The resultant vector of the sum (A→+B→) will be a vector in the same plane containing vectors A→ and B
 →While the vector of cross-product of the vectors A→ and B→ (A→×B→) will be in a plane perpendicular to both A→ and B→
So,the angle between A→+B→ and (A→×B→) is 90o
Regards,