A) (7, 5, 1)
B) \[(-7,\,\,-5,\,\,-1)\]
C) \[(1,\,\,1,\,\,-1)\]
D) none of these
Correct Answer: A
Solution :
Let \[\vec{c}=\lambda \,(\vec{a}\times \vec{b})\] |
Hence \[\lambda \,(\vec{a}\times \vec{b})\cdot (\hat{i}+2\hat{j}-7\hat{k})=10\] |
But \[\vec{a}\times \vec{b}=(-7\hat{i}-5\hat{j}-\hat{k}),\] |
let \[\vec{c}=\lambda \,(7\hat{i}+5\hat{j}+\hat{k})\] |
\[\Rightarrow \] \[\vec{c}=-\,(\vec{a}\times \vec{b})\] |
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