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:
  1.  
  2.  
  3.  
  4.  
  5.  

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

Related Videos

Tensor Product

See Also

References

Direct Product