[( a b ) ( b c )( b c ) ( c a )( c a ) ( a b )]=
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
\([(\vec{a} \times \vec{b}) \times(\vec{b} \times \vec{c})(\vec{b} \times \vec{c}) \times(\vec{c} \times \vec{a})(\vec{c} \times \vec{a}) \times(\vec{a} \times \vec{b})]=\)
- \([\overrightarrow{\mathrm{a}} \overrightarrow{\mathrm{~b}} \overrightarrow{\mathrm{c}}]^{2}\)
- \([\overrightarrow{\mathrm{a}} \overrightarrow{\mathrm{~b}} \overrightarrow{\mathrm{c}}]^{3}\)
- \([\overrightarrow{\mathrm{a}} \overrightarrow{\mathrm{~b}} \overrightarrow{\mathrm{c}}]^{4}\)
- none
Answer
(C) [ a ~b c ]^ 4
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