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Difference between dot product and cross product in tabular form

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Difference between dot product and cross product

  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×BB×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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