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Difference between cross and dot product

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Difference between cross and dot product

    • Posted by Arnav Singh 4 years, 6 months ago

    CBSE > Class 11 > Physics
    • 1 answers

    Sia ? 4 years, 6 months ago

    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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