For two vectors and it is given that A + B =7 i -4 j , A - B =3 i +2 j

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

For two vectors

\mathbf{A}

and

\mathbf{B}

it is given that

\mathbf{A}+\mathbf{B}=7\hat{i}-4\hat{j},\qquad \mathbf{A}-\mathbf{B}=3\hat{i}+2\hat{j}.

Determine the vector

\mathbf{A}