The basic difference between the dot product and scalar product of vectors is that in the dot product, the product of two vectors is equal to scalar quantity while in the scalar product, the 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 a 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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