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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
The position vectors of $A,B,C,D$ are
$\hat{i}+\hat{j}+\hat{k}$,
$2\hat{i}+5\hat{j}$,
$3\hat{i}+2\hat{j}-3\hat{k}$,
$\hat{i}-6\hat{j}-\hat{k}$
Angle between $\overrightarrow{AB}$ and $\overrightarrow{CD}$ is:
Solution
Compute vectors: $\overrightarrow{AB} = (2-1)\hat{i}+(5-1)\hat{j}+(0-1)\hat{k}=\hat{i}+4\hat{j}-\hat{k}$ $\overrightarrow{CD} = (1-3)\hat{i}+(-6-2)\hat{j}+(-1+3)\hat{k}=-2\hat{i}-8\hat{j}+2\hat{k}$ They are scalar multiples: $\overrightarrow{CD} = -2(\overrightarrow{AB})$ ⇒ Angle = $\pi$Online Test Series, Information About Examination,
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