(a) Define the negative of a vector. (b) Describe, step by step, how one can obtain…

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

Problem

(a) Define the negative of a vector. (b) Describe, step by step, how one can obtain the vector difference

\mathbf{P}-\mathbf{Q}

on a sheet of paper when only the vectors

\mathbf{P}

and

\mathbf{Q}

are given. (c) Two displacement vectors are given:

\mathbf{P}

5\,\text{cm}

along the positive

x

–axis and

\mathbf{Q}

4\,\text{cm}

along the positive

y

–axis. Using a convenient scale, draw

\mathbf{P}

\mathbf{Q}

-\mathbf{Q}

and

\mathbf{P}-\mathbf{Q}

on the same set of axes. Label all vectors clearly.