AP EAMCET · Maths · Three Dimensional Geometry
Find the angle between the diagonals of parallelogram \(P Q R S\), if \(\mathbf{P Q}=3 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}\) and \(\mathbf{P S}=\hat{\mathbf{i}}-2 \hat{\mathbf{k}}\)
- A Only \(\cos \theta=-\sqrt{\frac{3}{10}}\)
- B Both \(\cos \theta= \pm \sqrt{\frac{3}{10}}\)
- C \(\tan \theta=-\sqrt{\frac{3}{10}}\)
- D \(\tan \theta=-\sqrt{\frac{11}{10}}\)
Answer & Solution
Correct Answer
(A) Only \(\cos \theta=-\sqrt{\frac{3}{10}}\)
Step-by-step Solution
Detailed explanation
\[ \text { 60. (a) } \begin{aligned} \mathbf{P Q} & =3 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+2 \hat{\mathbf{k}} \\ \mathbf{P S} & =\hat{\mathbf{i}}-2 \hat{\mathbf{k}} \end{aligned} \]…
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