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NEET UG PHYSICS MCQ: MOTION IN PLANE

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Three vectors a⃗,b⃗\vec{a}, \vec{b} and c⃗\vec{c} satisfy the relation a⃗⋅b⃗=0\vec{a} \cdot \vec{b}=0 and a⃗⋅c⃗=0\vec{a} \cdot \vec{c}=0. The vector a⃗\vec{a} is parallel to
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Correct option: D
b⃗×c⃗\vec{b} \times \vec{c}
Option D is correct because if a⃗⋅b⃗=0\vec{a} \cdot \vec{b}=0 and a⃗⋅c⃗=0\vec{a} \cdot \vec{c}=0, then a⃗\vec{a} is perpendicular to both b⃗\vec{b} and c⃗\vec{c}, meaning it's parallel to their cross product.

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