- In math, at the level of calculus and higher, how many products are there?
- How many products do we need?
Dot Product
You can use a dot product to take two vectors and return scalar. More precisely, this calculation takes the transpose of the first vector.
As an example, if one vector represents a displacement and the other vector represents the force that caused it, the dot product of these two vectors gives us a scalar which is the amount of work done.
Cross Product
The cross product of two vectors is the area of the parallelogram that they create.
Scalar Product
Scalar Product is closely related to or perfectly equivalent to Dot Product.
Vector Product
The Cross Product is sometimes called a Vector Product.
Inner Product
An Inner Product is the generalization of the Dot Product.
Outer Product
The Outer product of two tensors is a tensor.
As an example, the outer product of two coordinate vectors is a mate.
Tensor Product
Math3ma has a page about tensor products. We love it!
https://www.math3ma.com/blog/the-tensor-product-demystified
Direct Product
The Direct Product of known objects produces a new object.
Cartesian Product
Vectoreverything 