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 :
If vector \(3 \hat{a}-2 \hat{b}+2 \hat{c}\) and \(-\hat{a}-2 \hat{c}\) are adjacent sides of a parallelogram, then an angle between the diagonals is
- \(\frac{\pi}{4}\)
- \(\frac{\pi}{3}\)
- \(\frac{\pi}{2}\)
- \(\frac{2 \pi}{3}\)
Answer
(A) 4
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