]> Example

Example

Suppose we know that ( a , b ) = 3 and ( a , c ) = 5 .

Then we can deduce that ( a , b + 2 c ) = 3 + 2 * 5 = 13 .

Similarly, if you know the value of ( a , b ) and ( a , c ) you can deduce the value of the dot product of a with any vector that can be expressed as a linear combination of b and c , that is, as x b + y c .

The value will be x * ( a , b ) + y * ( a , c ) .