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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