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Question

Statement 1: If dot product and cross product of A and B are zero, it implies that one of the vector A and B must be a null vector.
Statement 2: Null vector is a vector with zero magnitude.

A
a) Statement -1 is false , Statement- 2 is true.
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B
b) Statement-1 is true, Statement-2 is true , Statement-2 is a correct explanation for statement-1
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C
c)Statement-1 is true , Statement-2 is true; Statement-2 is not a correct explanation for statement-1
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D
d) Statement -1 is true, Statement-2 is false.
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Solution

The correct option is C c)Statement-1 is true , Statement-2 is true; Statement-2 is not a correct explanation for statement-1
If dot product is zero it means vectors lie perpendicular to each other. If cross product is zero, it means vectors lie along the same or opposite direction. These both can simultaneously be true only if the vector is null vector. Thus statement 1 is true. Also, statement 2 is true but it does not explain statement 1.

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