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Three vectors satisfy the relation $\vec{A} . \vec{B} = 0$ and $\vec{A} . \vec{C} = 0.$ Then $\vec{A}$ is parallel to

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a

$\vec{B} \times \vec{C}$

b

$\vec{B} . \vec{C}$

c

$\vec{C}$

d

$\vec{B}$

answer is C.

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Detailed Solution

$\vec{A}$ is perpendicular to both $\vec{B}$ and $\vec{C}$ .

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Three vectors satisfy the relation A→.B→=0 and A→.C→=0. Then A→ is parallel to