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Express the Vector as a Product of Its Length and Direction

Question 116

Multiple Choice

Express the vector as a product of its length and direction.
--5i + 5j + 5k


A) 53(33i+33j+33k) 5 \sqrt { 3 } \left( - \frac { \sqrt { 3 } } { 3 } \mathbf { i } + \frac { \sqrt { 3 } } { 3 } \mathbf { j } + \frac { \sqrt { 3 } } { 3 } \mathbf { k } \right)
B) 315(33i+33j+33k) \frac { \sqrt { 3 } } { 15 } \left( - \frac { \sqrt { 3 } } { 3 } \mathbf { i } + \frac { \sqrt { 3 } } { 3 } \mathbf { j } + \frac { \sqrt { 3 } } { 3 } \mathbf { k } \right)
C) 53(175i+175j+175k) 5 \sqrt { 3 } \left( - \frac { 1 } { 75 } \mathbf { i } + \frac { 1 } { 75 } \mathbf { j } + \frac { 1 } { 75 } \mathbf { k } \right)
D) 5(i+j+k) 5 ( - \mathbf { i } + \mathbf { j } + \mathbf { k } )

Correct Answer:

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