A) \[\left( -\frac{24}{5},\,\frac{36}{5} \right)\]
B) \[\left( \frac{24}{5},\,-\frac{36}{5} \right)\]
C) \[\left( -\frac{24}{5},\,-\frac{36}{5} \right)\]
D) \[\left( \frac{24}{5},\,\frac{36}{5} \right)\]
Correct Answer: C
Solution :
\[\mathbf{a}\times \mathbf{b}=\left| \begin{matrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ 2 & 3 & -5 \\ m & n & 12 \\ \end{matrix} \right|\] \[=(36+5n)\,\mathbf{i}-(24+5m)\,\mathbf{j}+(2n-3m)\,\mathbf{k}=0\] \[\Rightarrow m=\frac{-24}{5},\,\,\,n=\frac{-36}{5}\].You need to login to perform this action.
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