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Dot Product

In two dimensions, (ai + bj)•(ci + dj) = ac + bd. In three dimensions, (ai + bj + ck)•(di + ej + fk) = ad + be + cf. In either case, uv = |u| |v| cos θ, where θ is the angle between the vectors.

 

 

See also

Cross product, triple product, cosine

 


  this page updated 21-feb-16
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
NCTM Web Bytes December 2004 Web Bytes March 2005 Web Bytes