Three vectors a , b and c are such that a b = c , b c = a , c a = b . Answer the…
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
Three vectors \(\hat{a}, \hat{b} \text { and } \hat{c}\) are such that
\(\hat{a} \times \hat{b}=\hat{c}, \hat{b} \times \hat{c}=\hat{a}, \hat{c} \times \hat{a}=\hat{b} .\)
Answer the following questions :
\(\hat{a} \cdot(\hat{b} \times \hat{c})+\hat{b} \cdot(\hat{c} \times \hat{a})+\hat{c} \cdot(\hat{a} \times \hat{b})\) is equal to
- 1
- 3
- 0
- – 12
Answer
(B) 3
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