Find a Unit Vector Orthogonal to Both of the Vectors $\{ 1 , - 1,0 \}$

question 116

Multiple Choice

Find a unit vector orthogonal to both of the vectors $\{ 1 , - 1,0 \}$ and $\{ 1,2,3 \}$ .

• A) \(\left( \frac { 1 } { \sqrt { 3 } } , \frac { 1 } { \sqrt { 3 } } , \frac { 1 } { \sqrt { 3 } } \right)\)
• B) \(\left( - \frac { 1 } { \sqrt { 3 } } , \frac { 1 } { \sqrt { 3 } } , \frac { 1 } { \sqrt { 3 } } \right)\)
• C) \(\left( \frac { 1 } { \sqrt { 3 } } , - \frac { 1 } { \sqrt { 3 } } , \frac { 1 } { \sqrt { 3 } } \right)\)
• D) \(\left( \frac { 1 } { \sqrt { 3 } } , \frac { 1 } { \sqrt { 3 } } , - \frac { 1 } { \sqrt { 3 } } \right)\)
• E) \(\left\langle \frac { 2 } { 3 } , \frac { 2 } { 3 } , \frac { 1 } { 3 } \right\}\)
• F) \(\left( - \frac { 2 } { 3 } , \frac { 2 } { 3 } , \frac { 1 } { 3 } \right)\)
• G) \(\left( \frac { 2 } { 3 } , - \frac { 2 } { 3 } , \frac { 1 } { 3 } \right)\)
• H) \(\left( \frac { 2 } { 3 } , \frac { 2 } { 3 } , - \frac { 1 } { 3 } \right)\)

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