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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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Evaluate following. (a) 625 3/4 Solution (a) 625 3/4 Again, let's employ both forms to calculate this one. 625 3/4 =( 625 1/4 ) 3 =(5) 3 = 12
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