calculus scalar triple product

Do a new calculation with : scalar_triple_product

The scalar triple product calculator allows online calculation of scalar triple product.
scalar_triple_product(`[1;1;1];[5;1;6];[4;3;2]`), returns 9

Scalar triple product, online calculus

Summary :

The scalar triple product calculator allows online calculation of scalar triple product.


Description :

The scalar triple product calculator calculates the scalar triple product of three vectors, with the calculation steps.

The scalar triple product of three vectors `(vec(u),vec(v),vec(w))` is the number `vec(u)^^vec(v).vec(w)`. In other words, the scalar triple product is obtained by calculating the cross product of `vec(u)` and `vec(v)` noted `vec(u)^^vec(v)`, then performing the dot product dot product of the vector `vec(u)^^vec(v)` and the vector `vec(w)`.

  1. Calculation of scalar triple product of three vectors
    1. Calculation of scalar triple product from numeric coordinates.
    2. To calculate the scalar triple product following vectors `vec(u)[(1),(1),(1)]` ; `vec(v)[(5),(1),(6)]` and `vec(w)[(4),(3),(2)]`, enter scalar_triple_product(`[1;1;1];[5;1;6];[4;3;2]`).
      After calculating the result 16 is returned.

    3. Calculation of scalar triple product from literal coordinates.
    4. To calculate the scalar triple product following vectors `vec(u)[(a),(b),(c)]` ; `vec(v)[(2a),(3b),(1)]` and `vec(w)[(0),(1/2),(2a)]`, enter scalar_triple_product(`[a;b;c];[2a;3b;1];[0;1/2;2a]`).
      After calculating the result 16 is returned.

Syntax :

scalar_triple_product(vector;vector;vector)


Examples :

scalar_triple_product(`[1;1;1];[5;1;6];[4;3;2]`), returns 9

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