Q.

Statement I : If dot product and cross product of A  and B are zero, it implies that one of the vector AandB must be a null vector.

Statement II : Null vector is a vector with zero magnitude.

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a

If both statement I and statement II are true and statement II is the correct explanation of statement I.
 

b

If both statement I and statement II are true but statement II is not the correct explanation of statement I.
 

c

If statement I is true but statement II is false.
 

d

If both statement I and statement II are false.
 

answer is B.

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Detailed Solution

A.B=|A||B|cosθ=0

A×B=|A||B|sinθ=0

If AandB are not null vectors then it follows that sinθ and cosθ both should be zero simultaneously. But it cannot be possible so it is essential that one of the vector must be null vector.

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