MHT CET · Maths · Three Dimensional Geometry
The angle between the lines whose direction cosines are \(\frac{-\sqrt{3}}{4}, \frac{1}{4}, \frac{-\sqrt{3}}{2}\) and \(\frac{-\sqrt{3}}{4}, \frac{1}{4}, \frac{\sqrt{3}}{2}\) is
- A \(90^{\circ}\)
- B \(120^{\circ}\)
- C \(45^{\circ}\)
- D \(30^{\circ}\)
Answer & Solution
Correct Answer
(B) \(120^{\circ}\)
Step-by-step Solution
Detailed explanation
\(\cos\theta = l_1l_2 + m_1m_2 + n_1n_2\) \(\cos\theta = \left(\frac{-\sqrt{3}}{4}\right)\left(\frac{-\sqrt{3}}{4}\right) + \left(\frac{1}{4}\right)\left(\frac{1}{4}\right) + \left(\frac{-\sqrt{3}}{2}\right)\left(\frac{\sqrt{3}}{2}\right)\)
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