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

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B→

C→

B→×C→

B→+C→

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detailed solution

Correct option is C

If A→⋅B→=0,A→ is perpendicular to B→. If A→⋅C→=0,A→ is perpendicular to C→ So A→ is perpendicular to both B→ and C→ . Also B→×C→ is perpendicular to both B→ and C→ . Hence, A→ is parallel to B→×C→ .

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Three vectors A→,B→ and C→ satisfy the relation A→⋅B→=0 and A→⋅C→=0. The vector A→ is parallel to

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Ready to Test Your Skills?

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