Scalar Triple Product
The Scalar Triple Product is a mathematical operation involving three vectors in three-dimensional space. It is calculated as the dot product of one vector with the cross product of the other two vectors. The result is a scalar value that represents the volume of the parallelepiped formed by the three vectors, where the vectors are positioned at one vertex.
To compute the Scalar Triple Product, you can use the formula: \mathbfa \cdot (\mathbfb \times \mathbfc) , where \mathbfa , \mathbfb , and \mathbfc are the vectors. If the result is zero, it indicates that the vectors are coplanar, meaning they lie in the same plane and do not enclose any volume.