Express the Vector as a Product of Its Length and Direction

question 169

Multiple Choice

Express the vector as a product of its length and direction.
- $$\frac { 1 } { \sqrt { 6 } } \mathbf { i } + \frac { 1 } { \sqrt { 3 } } \mathbf { j } - \frac { 1 } { \sqrt { 2 } } \mathbf { k }$$

• A) \(\frac { 1 } { 6 } \left( \frac { 6 } { \sqrt { 6 } } \mathbf { i } + \frac { 6 } { \sqrt { 3 } } \mathbf { j } - \frac { 6 } { \sqrt { 2 } } \mathbf { k } \right)\)
• B) \(1 \left( \frac { 1 } { \sqrt { 6 } } \mathbf { i } + \frac { 1 } { \sqrt { 3 } } \mathbf { j } - \frac { 1 } { \sqrt { 2 } } \mathbf { k } \right)\)
• C) \(\frac { 1 } { 2 } \left( \frac { 1 } { 3 } \mathbf { i } + \frac { 2 } { \sqrt { 3 } } \mathbf { j } - \frac { 2 } { \sqrt { 2 } } \mathbf { k } \right)\)
• D) \(\frac { 2 } { 3 } \left( \frac { 3 } { 2 \sqrt { 6 } } \mathrm { i } + \frac { 3 } { 2 \sqrt { 3 } } \mathrm { j } - \frac { 3 } { 2 \sqrt { 2 } } \mathbf { k } \right)\)

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