Difference between scalar product ( dot product) and vector product.

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Solution

Dot product or scalar product Cross product or vector product
If the product of two vectors is a scalar quantity, the product is called scalar product or dot product. If the product of two vectors is a vector quantity then the product is called vector product or cross product.
The dot product is defined by the relation:
A . B = AB Cos θ The cross product is defined by the relation:
A × B = AB Sinθ u
The scalar product obeys commutative law as
A.B =B.A The vector or cross product does not obey commutative law
A×B ≠B×A
If two vectors are perpendicular to each other then their scalar product is zero.
A.B =0 If two vectors are parallel to each other, their vector product is zero.
A×B=0

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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.

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Dot product or scalar product	Cross product or vector product
If the product of two vectors is a scalar quantity, the product is called scalar product or dot product.	If the product of two vectors is a vector quantity then the product is called vector product or cross product.
The dot product is defined by the relation: A . B = AB Cos θ	The cross product is defined by the relation: A × B = AB Sinθ u
The scalar product obeys commutative law as A.B =B.A	The vector or cross product does not obey commutative law A×B ≠B×A
If two vectors are perpendicular to each other then their scalar product is zero. A.B =0	If two vectors are parallel to each other, their vector product is zero. A×B=0