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

Question 64

Multiple Choice

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


A)
1 leadcoeff( (da1fac)  da 1 rad (\frac { 1 } { \text { leadcoeff( } ( d a 1 \mathrm { fac } ) \sqrt { \text { da 1 rad } } } \left( \right. leadcoeff( a d) icoeff(bf) jcoeff(cg) k) \left. \left. \mathrm { a } ^ { * } \mathrm {~d} \right) \mathbf { i } \operatorname { coeff } \left( \mathrm { b } ^ { * } f \right) \mathbf { j } \operatorname { coeff } \left( \mathrm { c } ^ { * } g \right) \mathbf { k } \right)
B)
1 leadcoeff (da2fac) da2rad(\frac { 1 } { \text { leadcoeff } ( d a 2 f a c ) \sqrt { d a 2 r a d } } \left( \right. leadcoeff (a2) icoeff(b2) jcoeff(c2) k) \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(b* gcf) icoeff(ag+cd) jcoeff(afdb) k\left. 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) 1 leadcoeff(wfac)  wrad(\frac { 1 } { \text { leadcoeff(wfac) } \sqrt { w r a d } } \left( \right. leadcoeff (bgcf) icoeff(ag+cd) jcoeff(afdb) k) \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 (ad) icoeff(bf) jcoeff(cg) k\left( a ^ { * } d \right) \mathbf { i } \operatorname { coeff } \left( b ^ { * } f \right) \mathbf { j } \operatorname { coeff } \left( c ^ { * } g \right) \mathbf { k }

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