AP EAMCET · Maths · Three Dimensional Geometry
The angle between the lines whose direction cosines are \(\left(\frac{\sqrt{3}}{4}, \frac{1}{4}, \frac{\sqrt{3}}{2}\right)\) and \(\left(\frac{\sqrt{3}}{4}, \frac{1}{4}, \frac{-\sqrt{3}}{2}\right)\), is
- A \(\pi\)
- B \(\frac{\pi}{2}\)
- C \(\frac{\pi}{3}\)
- D \(\frac{\pi}{4}\)
Answer & Solution
Correct Answer
(C) \(\frac{\pi}{3}\)
Step-by-step Solution
Detailed explanation
Given that, \[ l_1=\frac{\sqrt{3}}{4}, m_1=\frac{1}{4} \text { and } n_1=\frac{\sqrt{3}}{2} \] and \(l_2=\frac{\sqrt{3}}{4}, m_2=\frac{1}{4}\) and \(n_2=\frac{-\sqrt{3}}{2}\)…
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