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Express the Vector as a Product of Its Length and Direction

Question 194

Multiple Choice

Express the vector as a product of its length and direction.
- 16i+16j16k\frac { 1 } { \sqrt { 6 } } \mathrm { i } + \frac { 1 } { \sqrt { 6 } } \mathrm { j } - \frac { 1 } { \sqrt { 6 } } \mathbf { k }


A) 13(36i+36j36k) \frac { 1 } { 3 } \left( \frac { 3 } { \sqrt { 6 } } \mathbf { i } + \frac { 3 } { \sqrt { 6 } } \mathbf { j } - \frac { 3 } { \sqrt { 6 } } \mathbf { k } \right)
B) 12(13i+13j13k) \sqrt { \frac { 1 } { 2 } } \left( \frac { 1 } { \sqrt { 3 } } \mathbf { i } + \frac { 1 } { \sqrt { 3 } } \mathbf { j } - \frac { 1 } { \sqrt { 3 } } \mathbf { k } \right)
C) 12(16i+16j16k) \sqrt { \frac { 1 } { 2 } } \left( \frac { 1 } { \sqrt { 6 } } \mathrm { i } + \frac { 1 } { \sqrt { 6 } } \mathrm { j } - \frac { 1 } { \sqrt { 6 } } \mathbf { k } \right)
D) 16(66i+66j66k) \frac { 1 } { 6 } \left( \frac { 6 } { \sqrt { 6 } } \mathbf { i } + \frac { 6 } { \sqrt { 6 } } \mathbf { j } - \frac { 6 } { \sqrt { 6 } } \mathbf { k } \right)

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