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Question

Statement 1: The scalar product of two vector can be zero.
Statement 2:If two vector are perpendicular to each other, their scalar product will be zero.

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 B b) Statement-1 is true, Statement-2 is true , Statement-2 is a correct explanation for statement-1
The scalar product of any two vectors A and B is given by A.B=ABcosθ where θ is angle between A and B.
Now, when two vectors are perpendicular to each other then θ=900 which implies A.B=ABcos900=0.
Therefore, statement 1 and 2 are true statement 2 is explanation of statement 1.

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