(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.)

Question

asked May 5, 2021 38.7k views

1 Answer

Ashish P · Answer 1 · 2021-05-11T10:06:41+0000

Answer:

0.58, 0.58, 0.58

Step-by-step explanation:

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

Unit Vector,
$\overline{a} = (a)/(|a|)$

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

|a| = √(62.41 +62.41 +62.41)

|a| = √(187.23)

|a| = 13.68

$\overline{a} = ((7.9, 7.9, 7.9))/(√(187.23))$

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

The unit vector is (0.58, 0.58, 0.58)