If a , ~b and c are any three vectors, then a ( b c )=( a b ) c is true if :
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
If \(\overrightarrow{\mathrm{a}}, \overrightarrow{\mathrm{~b}} \text { and } \overrightarrow{\mathrm{c}}\) are any three vectors, then
\(\vec{a} \times(\vec{b} \times \vec{c})=(\vec{a} \times \vec{b}) \times \vec{c}\) is true if :
\(\vec{a} \times(\vec{b} \times \vec{c})=(\vec{a} \times \vec{b}) \times \vec{c}\) is true if :
- \(\overrightarrow{\mathrm{b}} \& \overrightarrow{\mathrm{c}}\) are collinear
are collinear- \(\overrightarrow{\mathrm{a}} \& \overrightarrow{\mathrm{~b}}\) are collinear
- none of these
Answer
(B) are collinear
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