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Questions  

If A×B=C, then which of the following statements is wrong

a
C→⊥A→
b
C→⊥B→
c
C→⊥(A→+B→)
d
C→⊥(A→×B→)

detailed solution

Correct option is D

From the property of vector product, we notice that C→ must be perpendicular to the plane formed by vector A→ and B→. Thus C→ is perpendicular to both A→ and B→ and A→+B→ vector also must lie in the plane formed by vector A→ and B→ . Thus C→ must be perpendicular to A→+B→ but the cross product A→×B→ gives a vector C→ which cannot be  perpendicular to itself. Thus the last statement is wrong.

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