TS EAMCET · Maths · Three Dimensional Geometry
If \(\mathrm{A}=(1,-1,2), \mathrm{B}=(3,4,-2), \mathrm{C}=(0,3,2)\) and \(\mathrm{D}=(3,5,6)\) then the angle between the lines \(\overrightarrow{A B}\) and \(\overrightarrow{C D}\) is
- A \(30^{\circ}\)
- B \(45^{\circ}\)
- C \(60^{\circ}\)
- D \(90^{\circ}\)
Answer & Solution
Correct Answer
(D) \(90^{\circ}\)
Step-by-step Solution
Detailed explanation
\[ \begin{aligned} & \overrightarrow{A B}=\text { P.v. of } B \text { - P.v. of } A=(2,5,-4) \\ & \overrightarrow{C D}=\text { P.v. of } D-\text { P.v. of } C=(3,2,4) \end{aligned} \] Angle between \(\overrightarrow{A B}\) and \(\overrightarrow{C D}\) is \(\theta\) then…
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