A) \[\{\mathbf{a},\,{{\mathbf{b}}_{1}},\,{{c}_{1}}\}\]
B) \[\{\mathbf{a},\,{{\mathbf{b}}_{1}},\,{{c}_{2}}\}\]
C) \[\{\mathbf{a},\,{{\mathbf{b}}_{2}},\,{{c}_{3}}\}\]
D) \[\{\mathbf{a},\,{{\mathbf{b}}_{2}},\,{{c}_{4}}\}\]
Correct Answer: B
Solution :
We have, \[\mathbf{a}\,.\,{{\mathbf{b}}_{1}}=0\], \[{{\mathbf{b}}_{1}}\,.\,{{\mathbf{c}}_{2}}=0\], \[\mathbf{a}\,.\,{{\mathbf{c}}_{2}}=0\] \[\therefore \] Set of orthogonal vectors, \[[\mathbf{a}\,\,{{\mathbf{b}}_{1}}\,\,{{\mathbf{c}}_{2}}]=0\] \[\therefore \] Option is the correct answer.You need to login to perform this action.
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