For two vectors and

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

For two vectors

\mathbf{A}=A_x\hat{i}+A_y\hat{j}

and

\mathbf{B}=B_x\hat{i}+B_y\hat{j}

, which of the following gives the vector sum

\mathbf{A}+\mathbf{B}

? (a)

(A_x-B_x)\hat{i}+(A_y-B_y)\hat{j}

(b)

(A_x+B_x)\hat{i}+(A_y+B_y)\hat{j}

(c)

(A_x+B_y)\hat{i}+(A_y+B_x)\hat{j}

(d)

(A_xB_x)\hat{i}+(A_yB_y)\hat{j}