Properties of vector arithmetic, Mathematics

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Properties of Vector Arithmetic

If v, w and u are vectors (each with the same number of components) and a and b are two numbers then we have then following properties.

v→ + w→ = w→ + v→                           u→ + (v→ + w→) = (u→ + v→) + w→

v→ + 0→ = v→                                      1v→ = v→

a (v→ + w→) = av→ + aw→                   (a+b) v→ = av→ + bv→


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