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

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)