Find the Unit Vector Having the Same Direction as V $$v = - 30 i + 30 j - 15 k$$

question 8

Multiple Choice

Find the unit vector having the same direction as v.
- $$v = - 30 i + 30 j - 15 k$$

• A) \(\frac { v } { \| v } = - \frac { 2 } { \sqrt { 5 } } \mathrm { i } + \frac { 2 } { \sqrt { 5 } } \mathrm { j } - \frac { 1 } { \sqrt { 5 } } \mathbf { k }\)
• B) \(\frac { v } { \| v \| } = \frac { 2 } { 3 } \mathbf { i } + \frac { 2 } { 3 } j + \frac { 1 } { 3 } k\)
• C) \(\frac { \mathbf { v } } { \| \mathbf { v } \| } = - \frac { 2 } { 9 } \mathbf { i } + \frac { 2 } { 9 } \mathbf { j } - \frac { 1 } { 9 } \mathbf { k }\)
• D) \(\frac { v } { v \| } = - \frac { 2 } { 3 } \mathbf { i } + \frac { 2 } { 3 } \mathbf { j } - \frac { 1 } { 3 } \mathbf { k }\)

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