Question

(a) What is the unit vector pointing from the origin to the diagonally opposite corner at location < 7.9, 7.9, 7.9 > cm? (Express your answer in vector form.)

Answer 1

Answer:

0.58, 0.58, 0.58

Explanation:

Given vector, a = (7.9, 7.9, 7.9)

Unit Vector, $\overline{a} = \frac{a}{|a|}$

The magnitude $|a| = \sqrt{(7.9)^{2} + (7.9)^{2} + (7.9)^{2}}$

                     $|a| = \sqrt{62.41 +62.41 +62.41}$

                     $|a| = \sqrt{187.23}$

                     |a| = 13.68

                    $\overline{a} = \frac{(7.9, 7.9, 7.9)}{\sqrt{187.23}}$

                    $\overline{a} = (0.58, 0.58, 0.58)$

The unit vector is (0.58, 0.58, 0.58)