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  4. Let vecα=2 hat i +3 hat j - hat k and barβ= hat i + hat j . If vecγ is a unit vector, then the maximum value of [ vecα × vecβ vecβ × barγ vecγ × vecα] is equal to

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Q. Let $\vec{\alpha}=2 \hat{ i }+3 \hat{ j }-\hat{ k }$ and $\bar{\beta}=\hat{ i }+\hat{ j } .$ If $\vec{\gamma}$ is a unit vector, then the maximum value of $[\vec{\alpha} \times \vec{\beta} \vec{\beta} \times \bar{\gamma} \quad \vec{\gamma} \times \vec{\alpha}]$ is equal to

Vector Algebra

Solution:

Correct answer is (b) 3