If a +2 b +3 c = o , then a b + b c + c a is equal to
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
If \(\vec{a}+2 \vec{b}+3 \vec{c}=\vec{o},\) then \(\vec{a} \times \vec{b}+\vec{b} \times \vec{c}+\vec{c} \times \vec{a}\) is equal to
- \(6(\vec{b} \times \vec{c})\)
- \(6(\overrightarrow{\mathrm{c}} \times \overrightarrow{\mathrm{a}})\)
- \(6(\vec{a} \times \vec{b})\)
- none of these
Answer
(A) 6( b c )
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