A) ?1
B) \[\frac{1}{2}\]
C) \[-\frac{1}{2}\]
D) 1
Correct Answer: C
Solution :
Given vectors can be rewritten as \[\overrightarrow{A}=2\hat{i}+3\hat{j}+8\hat{k}\] and \[\overrightarrow{B}=-4\hat{i}+4\hat{j}+\alpha \hat{k}\] Dot product of these vectors should be equal to zero because they are perpendicular. \ \[\overrightarrow{A}\,.\,\overrightarrow{B}=-8+12+8\alpha =0\] Þ \[8\alpha =-4\] Þ \[\alpha =-1/2\]You need to login to perform this action.
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