A) ? 14
B) 7
C) 14
D) 1/7
Correct Answer: C
Solution :
Let \[\mathbf{a}=3\mathbf{i}+\lambda \,\mathbf{j}+\mathbf{k}\],\[\mathbf{b}=2\mathbf{i}-\mathbf{j}+8\mathbf{k}\] \[\because \,\,\mathbf{a}\bot \,\mathbf{b}\], \ \[\mathbf{a}\,\mathbf{.}\,\mathbf{b}=0\] \[(3\mathbf{i}+\lambda \,\mathbf{j}+\mathbf{k})\,\mathbf{.}\,(2\mathbf{i}-\mathbf{j}+8\mathbf{k})=0\] \[\mathbf{a},\,\mathbf{b},\,\mathbf{c}\] \[\Rightarrow \lambda =14.\]You need to login to perform this action.
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