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Difference between dot product and cross product in tabular form

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Vector dot product and cross product are two types of vector product,the basic difference between dot product and scalar product is that in dot product,product of two vectors is equal to scalar quantity while in scalar product,product of two vectors is equal to vector quantity.

 dot product Vs 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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