1.

If \[\mathbf{a}=2\mathbf{i}+3\mathbf{j}-5\mathbf{k},\,\,\mathbf{b}=m\mathbf{i}+n\mathbf{j}+12\mathbf{k}\] and \[\mathbf{a}\times \mathbf{b}=0,\] then \[(m,\,\,n)=\]

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. \[\left( \frac{24}{5},\,\frac{36}{5} \right)\]
Answer» D. \[\left( \frac{24}{5},\,\frac{36}{5} \right)\]


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