Find a Unit Vector Orthogonal To $\mathbf { u }$ And $\mathbf { v }$

question 101

Multiple Choice

Find a unit vector orthogonal to $\mathbf { u }$ and $\mathbf { v }$ .
$\mathbf { u } =$ leadcoeff(a) i $\operatorname { coeff } ( b ) \mathbf { j } \operatorname { coeff } ( \mathrm { c } ) \mathbf { k } , \mathbf { v } =$ leadcoeff(d) $\mathbf { c o e f f } ( \mathrm { f } ) \mathbf { j } \operatorname { coeff } ( \mathrm { g } ) \mathbf { k }$

• A)
• \(\frac { 1 } { \text { leadcoeff(da } 1 \mathrm { fac } ) \sqrt { \text { da } 1 \mathrm { rad } } } \left( \right.\) leadcoeff( \(\left. \left( \mathrm { a } ^ { * } \mathrm {~d} \right) \mathbf { i } \operatorname { coeff } \left( \mathrm { b } ^ { * } \mathrm { f } \right) \mathbf { j } \operatorname { coeff } \left( \mathrm { c } ^ { * } \mathrm {~g} \right) \mathbf { k } \right)\)
• B)
• \(\frac { 1 } { \text { leadcoeff } ( \text { da } 2 \text { fac } ) \sqrt { \text { da } 2 \text { rad } } } \left( \right.\) leadcoeff \(\left. \left( a ^ { \wedge } 2 \right) \mathbf { i } \operatorname { coeff } \left( b ^ { \wedge } 2 \right) \mathbf { j } \operatorname { coeff } \left( c ^ { \wedge } 2 \right) \mathbf { k } \right)\)
• C) leadcoeff \(\left( b ^ { * } g - c ^ { * } f \right) \mathbf { i } \operatorname { coeff } \left( - a ^ { * } g + c ^ { * } d \right) \mathbf { j } \operatorname { coeff } \left( a ^ { * } f - d ^ { * } b \right) \mathbf { k }\)
• D) \(\frac { 1 } { \text { leadcoeff(wfac) } \sqrt { \text { wrad } } } \left( \right.\) leadcoeff \(\left. \left( b ^ { * } g - c ^ { * } f \right) \mathbf { i } \operatorname { coeff } \left( - a ^ { * } g + c ^ { * } d \right) \mathbf { j } \operatorname { coeff } \left( a ^ { * } f - d ^ { * } b \right) \mathbf { k } \right)\)
• E) leadcoeff(a* d)i coeff(b* \(f ) \mathbf { j } \operatorname { coeff } \left( c ^ { * } g \right) \mathbf { k }\) .

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