Fundamentals of Statistics contains material of various lectures and courses of H. Lohninger on statistics, data analysis and chemometrics......click here for more.


Table of Contents Math Background Vectors Scalar Product
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: 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 
 [ 1
4
5
-1
0
-1		 ]  =  [ 0
0
0
0
0
0		 ]
-0.3(0, 0, 0) = (0, 0, 0)

Last Update: 2006-Jan-18