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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)
[ 1
4
5
-1
0
-1
]  =  [ 0
0
0
0
0
0
]
-0.3(0, 0, 0) = (0, 0, 0)

Last Update: 2006-Jšn-18