Scalar Product

Scalar product

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: mk := svk for each element mk and vk.

Note that if either v or s is zero, the scalar product is the zero vector 0.

Examples:

5(4, -2, 0, 0.1) = (20, -10, 0, 0.5) -0.3(0, 0, 0) = (0, 0, 0)