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Properties
Now there are a couple of formulas for summation notation.
1.
here c is any number. Therefore, we can factor constants out of a summation.
2.
Therefore we can break up a summation across a sum or difference.
Consider that we started the series at i0 to denote the fact as they can begin at any value of i which we require them to. Also consider that whereas we can break up sums and differences whereas we did in 2 above we cannot do similar thing for products and quotients. Though,
Proof for Properties of Dot Product Proof of u → • (v → + w → ) = u → • v → + u → • w → We'll begin with the three vectors, u → = (u 1 , u 2 , ...
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