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    Mixed product of vectors

    Mixed product of vectors (also sometimes referred to as "triple scalar product") a, b, c – this is a scalar product of a vector with the product of vectors b and c.

    Geometric meaning: the absolute value of the triple scalar product is the volume of the parallelepiped formed by the three vectors a,b and c.

    Numerically, the mixed product can be obtained by calculating the determinant of the matrix composed of the coordinates of the three given vectors.

    The mixed product of vectors has widespread applications in many problems of stereometry and analytical geometry.

    Below is an online calculator with which you can easily solve the given problem.



    Form of representation of the first vector:

    Form of representation of the second vector:

    Form of representation of the third vector:

    Enter vector values.

    First vector

    a = {
    ,,
    }

    Second vector

    b = {
    ,,
    }

    Third vector

    c = {
    ,,
    }