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Q.

If  r→⋅a→=r→⋅b→=r→⋅c→=0, where a→,b→ and c→  are non-coplanar, then

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a

r→⊥(c→×a→)

b

r→⊥(a→×b→)

c

r→⊥(b→×c→)

d

r→=0→

answer is D.

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Detailed Solution

Let r→≠0→. Then r→⋅a→=r→⋅b→=r→⋅c→=0hence a→,b→ and c→ are coplanar, which is a contradiction.Therefore,  r→=0→
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If  r→⋅a→=r→⋅b→=r→⋅c→=0, where a→,b→ and c→  are non-coplanar, then