Question

# Assertion: Statement I: The dot product of one vector with another vector may be a scalar or a vector.Reason: Statement-II: The product of two vectors is a vector quantity, then the product is called a dot product.

A
Statement-I is false, Statement-II is true.
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B
Both Statement-I and Statement-II are false.
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C
Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I.
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D
Statement-I is true, Statement-II is true ; Statement-II is NOT a correct explanation for Statement-I.
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Solution

## Dot product of two vectors →aand→b is given by→a.→b=|→a|∣∣→b∣∣cosθ .The dot product of two vectors is always gives a scalar.That is why it is also called scalar product.The cross-product of two vectors is always a vector. Thus, both statements are incorrect. The correct option is B - Both Statement-I and Statement-II are false.​

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