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| Parameter Of Comparison | Dot Product | Cross Product |
| General Definition | A dot product is the product of the magnitude of the vectors and the cos of the angle between them. | A cross product is the product of the magnitude of the vectors and the sine of the angle that they subtend on each other. |
| Mathematical Relation | The dot product of two vectors A and B is represented as : Α.Β = ΑΒ cos θ | The cross product of two vectors A and B is represented as : Α × Β = ΑΒ sin θ |
| Resultant | The resultant of the dot product of the vectors is a scalar quantity. | The resultant of the cross product of the vectors is a vector quantity. |
| Orthogonality of Vectors | The dot product is zero when the vectors are orthogonal ( θ = 90°). | The cross product is maximum when the vectors are orthogonal ( θ = 90°). |
| Commutativity | The dot product of two vectors follows the commutative law : A. B = B. A | The cross product of two vectors does not follow the commutative law : A × B ≠ B × A |
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Sanaya Shrestha 8 years, 1 month ago
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