question_answer

What is the angle between  \[(\vec{A}+\vec{B})\] and \[(\vec{A}\times \vec{B})\]?

Answer:

                The resultant vector \[(\vec{A}+\vec{B})\] lies in the plane of \[\vec{A}\] and \[\vec{B}\], while the cross product \[(\vec{A}\times \vec{B})\] is perpendicular to this plane. So the angle between \[(\vec{A}+\vec{B})\] and\[(\vec{A}\times \vec{B})\] is\[~\text{9}0{}^\circ \].