A scalar function of two vectors, equal to the product of their magnitudes and the cosine of the angle between them.
Written as a. b or ab
Also called dot product or scalar product
Compare with vector product
Example sentencesExamples
- The familiar example of the inner product of two vectors (tensors of rank one) is a special case of this.
- As a criterion for such a partition, we used the sign of the inner product between the vector of left-right differences of each individual and that of the first specimen in the data set.
- An inner product of two vectors represents the number of changes along the shared branch vectors.
- Additionally we calculate the inner product between eigenvectors to compare the motion displayed in different simulations.
- It goes without saying that all the usual projection theorems hold for this inner product.