Find a Unit Vector Orthogonal To $3 \mathbf { i } + 2 \mathbf { j }$

question 13

Multiple Choice

Find a unit vector orthogonal to $3 \mathbf { i } + 2 \mathbf { j }$ and $\mathbf { j } + 5 \mathbf { k }$ .

• A) \(10 \mathbf { i } - 15 \mathbf { j } + 3 \mathbf { k }\)
• B) \(\frac { 10 } { \sqrt { 334 } } \mathbf { i } - \frac { 15 } { \sqrt { 334 } } \mathbf { j } + \frac { 3 } { \sqrt { 334 } } \mathbf { k }\)
• C) \(10 \mathbf { i } + 15 \mathbf { j } + 3 \mathbf { k }\)
• D) \(- \frac { 10 } { \sqrt { 334 } } \mathbf { i } + \frac { 15 } { \sqrt { 334 } } \mathbf { j } - \frac { 3 } { \sqrt { 334 } } \mathbf { k }\)
• E) \(\frac { 10 } { \sqrt { 334 } } \mathbf { i } + \frac { 15 } { \sqrt { 334 } } \mathbf { j } + \frac { 3 } { \sqrt { 334 } } \mathbf { k }\)

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