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Difference between cross and dot product |
| Answer» \tParameter Of ComparisonDot ProductCross ProductGeneral DefinitionA 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 RelationThe dot product of two vectors A and B is represented as : Α.Β = ΑΒ cos θThe cross product of two vectors A and B is represented as : Α × Β = ΑΒ sin θResultantThe 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 VectorsThe dot product is zero when the vectors are orthogonal ( θ = 90°).The cross product is maximum when the vectors are orthogonal ( θ = 90°).CommutativityThe dot product of two vectors follows the commutative law : A. B = B. AThe cross product of two vectors does not follow the commutative law : A × B ≠ B × A\t | |