Let a , ~b and c be three non-zero vectors such that no two of them are collinear and ( a…
Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry
Let \(\overrightarrow{\mathrm{a}}, \overrightarrow{\mathrm{~b}} \text { and } \overrightarrow{\mathrm{c}}\)be three non-zero vectors such that no two of them are collinear and \((\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}) \times \overrightarrow{\mathrm{c}}=\frac{1}{3}|\overrightarrow{\mathrm{~b}}||\overrightarrow{\mathrm{c}}| \overrightarrow{\mathrm{a}}\). If θ is the angle between vector \(\overrightarrow{\mathrm{b}} \text { and } \overrightarrow{\mathrm{c}}\), then a value of sin θ is:
- \(\frac{2}{3}\)
- \(\frac{-2 \sqrt{3}}{3}\)
- \(\frac{2 \sqrt{2}}{3}\)
- \(\frac{-\sqrt{2}}{3}\)
Answer
(C) 2 2 3
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