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) \(5 \sqrt { 3 } \left( - \frac { \sqrt { 3 } } { 3 } \mathbf { i } + \frac { \sqrt { 3 } } { 3 } \mathbf { j } + \frac { \sqrt { 3 } } { 3 } \mathbf { k } \right)\)
• B) \(\frac { \sqrt { 3 } } { 15 } \left( - \frac { \sqrt { 3 } } { 3 } \mathbf { i } + \frac { \sqrt { 3 } } { 3 } \mathbf { j } + \frac { \sqrt { 3 } } { 3 } \mathbf { k } \right)\)
• C) \(5 \sqrt { 3 } \left( - \frac { 1 } { 75 } \mathbf { i } + \frac { 1 } { 75 } \mathbf { j } + \frac { 1 } { 75 } \mathbf { k } \right)\)
• D) \(5 ( - \mathbf { i } + \mathbf { j } + \mathbf { k } )\)

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