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 :
Vectors \(2 \hat{a}-3 \hat{b}+4 \hat{c}\), \(\hat{a}+2 \hat{b}-\hat{c}\)and \(x \hat{a}-\hat{b}+2 \hat{c}\) are
coplanar, then x =
- \(\frac{8}{5}\)
- \(\frac{5}{8}\)
- 0
- 1
Answer
(A) 8 5
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