If a , ~b , c be the unit vectors such that b is not parallel to c and a (2 ~b c )= b…
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
If \(\overrightarrow{\mathrm{a}}, \overrightarrow{\mathrm{~b}}, \overrightarrow{\mathrm{c}}\) be the unit vectors such that \(\overrightarrow{\mathrm{b}}\) is not parallel to \(\stackrel{\rightharpoonup}{\mathrm{c}}\) and \(\overrightarrow{\mathrm{a}} \times(2 \overrightarrow{\mathrm{~b}} \times \overrightarrow{\mathrm{c}})=\overrightarrow{\mathrm{b}}\) then the angle that \(\stackrel{\rightharpoonup}{\mathrm{a}}\) makes with \(\overrightarrow{\mathrm{b}} \& \overrightarrow{\mathrm{c}}\) are respectively
- \(\frac{\pi}{3} \& \frac{\pi}{4}\)
- \(\frac{\pi}{3} \& \frac{2 \pi}{3}\)
- \(\frac{\pi}{2} \& \frac{2 \pi}{3}\)
- \(\frac{\pi}{2} \& \frac{\pi}{3}\)
Answer
(D) 2 3
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