Manuals/calci/DYADIC

DYADIC(a,b)


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:
  1.  
  2.  
  3.  
  4.  
  5.  

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

See Also

References

Direct Product