question_answer

Do\[\vec{A}+\,\vec{B}\] and \[\vec{A}-\,\vec{B}\]lie in the same plane? Explain.                

Answer:

Yes.\[\vec{A}+\,\vec{B}\]is represented by the diagonal of the parallelogram drawn whose two adjacent sides are represented by two vectors and the diagonal passes through the common tail of \[\vec{A}\]and\[\vec{B}\]. Whereas \[\vec{A}-\,\vec{B}\]is represented by the diagonal of the same parallelogram but not passing through the common tail of \[\vec{A}\]and\[\vec{B}\].