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

question 110

Multiple Choice

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

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

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