Cross Product (Noun)
Meaning
A vector that is the product of two other vectors.
Classification
Nouns denoting cognitive processes and contents.
Examples
- The resulting vector from the cross product operation is perpendicular to both input vectors in a three-dimensional space.
- The magnitude of the cross product can be computed as the product of the magnitudes of the two input vectors multiplied by the sine of the angle between them.
- To calculate the cross product, one typically uses a mathematical operation involving vector components and the well-known determinant formula or right-hand rule.
- The resulting cross product vector has both magnitude and direction, with the direction determined by the handedness convention in use, such as the right-hand rule.
- In physics and engineering applications, the cross product is crucial for describing quantities like torque, angular momentum, and magnetic field strength.