Scalar Product (Noun)
Meaning
A real number (a scalar) that is the product of two vectors.
Classification
Nouns denoting cognitive processes and contents.
Examples
- The scalar product of two vectors is often denoted by the dot product symbol.
- To find the scalar product, the vectors are typically given in components along a Cartesian coordinate system.
- A high scalar product indicates that the two vectors point in similar directions.
- The scalar product is widely used in fields such as physics and engineering to calculate quantities like work and energy.
- The geometric meaning of the scalar product is that it equals the area of the rectangle formed by the two vectors and the angle between them.