Two vectors are given as and

MATHEMATICS · Multi-part · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Two vectors are given as

\mathbf{P}=P_x\hat{i}+P_y\hat{j}

and

\mathbf{Q}=Q_x\hat{i}+Q_y\hat{j}

. Answer the following: (i) State the condition under which

\mathbf{P}

equals

\mathbf{Q}

. (ii) In one sentence, explain how this condition is useful when an unknown vector must be found from a vector equation.