If ( a b ) c = a ( b c ) , where a , b , c are any three vectors such that ≠ 0, b c ≠ 0…
Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry
If \((\vec{a} \times \vec{b}) \times \vec{c}=\vec{a} \times(\vec{b} \times \vec{c}) \text {, where } \vec{a}, \vec{b}, \vec{c} \text { are }\)any three vectors such that 
≠ 0, \(\overrightarrow{\mathrm{b}} \cdot \overrightarrow{\mathrm{c}}\)≠ 0, then \(\overrightarrow{\mathrm{a}} \text { and } \overrightarrow{\mathrm{c}}\) are
≠ 0, \(\overrightarrow{\mathrm{b}} \cdot \overrightarrow{\mathrm{c}}\)≠ 0, then \(\overrightarrow{\mathrm{a}} \text { and } \overrightarrow{\mathrm{c}}\) are- inclined at an angle of \(\frac{\pi}{6}\) between them
- perpendicular
- parallel
- inclined at an angle of \(\frac{\pi}{3}\) between them
Answer
(C) parallel
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