(b) (i) Define the vector (cross) product of two vectors. (ii) Let and . Calculate…

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

Problem

(b) (i) Define the vector (cross) product of two vectors. (ii) Let

\vec{p}=3\,\hat{i}-\hat{j}+2\,\hat{k}

and

\vec{q}=-\hat{i}+4\,\hat{j}-\hat{k}

. Calculate

\vec{p}\times\vec{q}

and

\vec{q}\times\vec{p}

. (iii) Using the numerical results obtained in part (ii), explain how they illustrate the anticommutative property of the cross product.