A) \[\frac{-10}{7}\]
B) \[\frac{10}{7}\]
C) \[\frac{-10}{11}\]
D) \[\frac{10}{11}\]
Correct Answer: A
Solution :
[a] : The given lines are perpendicular so, vectors \[{{\vec{b}}_{1}}=-3\hat{i}+2\alpha \hat{j}+2\hat{k}\]and\[{{\vec{b}}_{2}}=3\alpha \hat{i}+\hat{j}-5\hat{k}\]are perpendicular. So\[{{\vec{b}}_{1}}.{{\vec{b}}_{2}}=0\] \[\Rightarrow \]\[-9\alpha +2\alpha -10=0\Rightarrow -7\alpha =10\] \[\Rightarrow \]\[\alpha =-10/7\]
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