A) parallel to y-axis
B) making an acute angle with the positive direction of x-axis
C) parallel to x-axis
D) making an obtuse angle with the position direction of x-axis.
Correct Answer: B
Solution :
\[\overrightarrow{AB}=-4i+2j+(p+1)\hat{k}\] \[\overrightarrow{AC}=2\hat{i}+(q-1)\hat{j}-3\hat{k}\] \[\overrightarrow{AB}.\overrightarrow{AC}=0\]\[\Rightarrow \]\[-8+2(9-1)-3(p+1)=0\] \[\Rightarrow \]\[-3p+2q-13=0\]\[\Rightarrow \]\[(p,q)\]lies on line \[3x-2y+13=0\] Slope \[=\frac{3}{2}\]You need to login to perform this action.
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