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Table of Contents Math Background Vectors Scalar Product	Index
See also: inner product

Scalar Product

Definition:

Let m and v be two arbitrary vectors, and s an arbitrary scalar from the vector's basic set. The scalar product m := sv is then calculated by multiplying each of the vector elements by the scalar: m_k := sv_k for each element m_k and v_k.

Examples:

5(4, -2, 0, 0.1) = (20, -10, 0, 0.5)

0

1 4 5 -1 0 -1

=

0 0 0 0 0 0

-0.3(0, 0, 0) = (0, 0, 0)

Last Update: 2006-Jän-18