Show that each of the given three vectors is a unit vector: 1 7 (2 i +3 j +6 k ), 1 7…

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

Problem

5. Show that each of the given three vectors is a unit vector:

\frac{1}{7}(2 \hat{i}+3 \hat{j}+6 \hat{k}), \frac{1}{7}(3 \hat{i}-6 \hat{j}+2 \hat{k}), \quad \frac{1}{7}(6 \hat{i}+2 \hat{j}-3 \hat{k})

Also, show that they are mutually perpendicular to each other.