Let a , b and c be three unit vectors such that a ( b c )= 3 2 ( b + c ) . If b is not…
Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry
Let \(\vec{a}, \vec{b} \text { and } \vec{c}\) be three unit vectors such that \(\vec{a} \times(\vec{b} \times \vec{c})=\frac{\sqrt{3}}{2}(\vec{b}+\vec{c}) .\) If \(\overrightarrow{\mathrm{b}}\) is not parallel to \(\overrightarrow{\mathbf{c}},\) then the angle between \(\overrightarrow{\mathbf{a}}\) and \(\overrightarrow{\mathrm{b}}\) is :
- \(\frac{\pi}{2}\)
- \(\frac{2 \pi}{3}\)
- \(\frac{5 \pi}{6}\)
Answer
(C) 5 6
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