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)`.

Calculation of scalar triple product of three vectors

Calculation of scalar triple product from numeric coordinates.

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.

Calculation of scalar triple product from literal coordinates.

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

• Vector calculator : vector_calculator. The vector calculator allows to do calculations with vectors using coordinates.
• Calculating the coordinates of a vector from two points. : vector_coordinates. The vector calculator allows the calculation of the coordinates of a vector from the coordinates of two points online.
• Determinant calculator : determinant. The determinant function calculates online the determinant of vectors or the determinant of a matrix.
• Calculating the difference of two vectors : vector_difference. The vector_difference function is used to calculate the difference of two vectors online.
• Calculating the norm of a vector : vector_norm. The vector calculator allows the calculation of the norm of a vector online.
• Calculus scalar triple product : scalar_triple_product. The scalar triple product calculator allows online calculation of scalar triple product.
• Dot product calculator : dot_product. The dot product calculator allows the calculation of the dot product of two vectors online from their coordinates.
• Product of a vector by a number : product_vector_number. The vector calculator allows to calculate the product of a vector by a number online.
• Cross product calculator : cross_product. The vector calculator allows the calculation of the cross product of two vectors online from their coordinates.
• Calculating the sum of two vectors : vector_sum. The vector calculator allows the calculation of the sum of two vectors online.