# Manuals/calci/VECTORDIRECTPRODUCT

VECTORDIRECTPRODUCT (a,b)

• and any two set of values.

## Description

• This function shows the Vector Direct product.
• The third type of vector multiplication is called the direct product, and is written AB.
• In , and are the two vectors.
• Multiplying one vector by another under the direct product gives a tensor result.
• The rectangular components of the direct product may be found by matrix multiplication: one multiplies the column vector A by the transpose of B, which gives a 3X3 matrix:

= =

• The direct product is non-commutative .
• A few vector product identities are of interest:

## Examples

1. VECTORDIRECTPRODUCT([1,2,3],[5,2,9]) = 36
2. VECTORDIRECTPRODUCT([4,-3,5],[3.3,4.2,6]) = 30.599999999999998
3. VECTORDIRECTPRODUCT([2,1,-3],[7,4,-9]) = 45

Tensor Product