Calculus scalar triple product : How to use it?
The scalar triple product calculator allows online calculation of scalar triple product.
Syntax :
scalar_triple_product(vector;vector;vector)
Examples :
scalar_triple_product([1;1;1];[5;1;6];[4;3;2]), returns 9
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.
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