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  • and any two set of values.


  • 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. 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


Direct Product