Enter your vectors or matrix into the calculator to determine the triple scalar product.
Triple Scalar Product Calculation Formula
The following formula is used to calculate the triple scalar product.
Triple Scalar Product = A ⋅ (B × C)
Variables:
- A is the first vector
- B is the second vector
- C is the third vector
To calculate the triple scalar product, compute the cross product of vectors B and C, then take the dot product of the result with vector A.
What is Triple Scalar Product?
The triple scalar product of three vectors is a scalar value that represents the volume of the parallelepiped defined by the vectors. It is calculated as the dot product of one of the vectors with the cross product of the other two vectors. This measure is significant in physics and engineering for determining volumes and orientations in three-dimensional space.
How to Calculate Triple Scalar Product?
The following steps outline how to calculate the triple scalar product using the given formula:
- First, determine the vectors A, B, and C.
- Next, calculate the cross product of vectors B and C.
- Use the formula from above: Triple Scalar Product = A ⋅ (B × C).
- Finally, calculate the triple scalar product by