If the angle between vectors A→ and B→ is θ the value of the product B→×A→.A→ is equal to :

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If the angle between vectors $\vec{A}$ and $\vec{B}$ is $θ$ the value of the product $(\vec{B} \times \vec{A}) . \vec{A}$ is equal to :

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zero

BA² sin $θ$ cos $θ$

BA² cos $θ$

BA² sin $θ$

answer is A.

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Detailed Solution

Vector $\vec{A}$ and $\hat{n}$ are perpendicular to each other as direction of $\hat{n}$ can be given by right hand screw rule.

Dot product of two vectors is zero when they are perpendicular to each other.

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