Find a Unit Vector Perpendicular to Both $6 \vec { i } - \vec { j } + \vec { k }$

question 120

Multiple Choice

Find a unit vector perpendicular to both $6 \vec { i } - \vec { j } + \vec { k }$ and $\overrightarrow { 8 i } + \vec { k }$ .

• A) \(- \frac { 1 } { \sqrt { 69 } } \vec { i } - \frac { 2 } { \sqrt { 69 } } \vec { j } + \frac { 8 } { \sqrt { 69 } } \vec { k }\)
• B) \(- \frac { 1 } { \sqrt { 69 } } \vec { i } + \frac { 2 } { \sqrt { 69 } } \vec { j } + \frac { 8 } { \sqrt { 69 } } \vec { k }\)
• C) \(- \frac { 1 } { \sqrt { 69 } } \vec { i } + \frac { 2 } { \sqrt { 69 } } \vec { j } - \frac { 8 } { \sqrt { 69 } } \vec { k }\)
• D) \(- \vec { i } + 2 \vec { j } + 8 \vec { k }\)
• E) \(\frac { 1 } { \sqrt { 69 } } \vec { i } + \frac { 2 } { \sqrt { 69 } } \vec { j } + \frac { 8 } { \sqrt { 69 } } \vec { k }\)

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