(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

OR 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. DYADIC([1,2,3],[8,7,6]) = 40
2. VECTORDIRECTPRODUCT([14,17,20],[22,26,5]) = 850
3. VECTORDIRECTPRODUCT([2.7,3.9,10.2],[14.5,19,-4]) = 72.45
4. DYADIC([-8,-4,2],[10,-45,67]) = 234

Tensor Product