Question: (a) By solving the equation z3 + 1 = 0, find the three cube roots of -1. (44 (b) Let 1 be a cube root

(a) By solving the equation z3 + 1 = 0, find the three cube roots of -1. (44 (b) Let 1 be a cube root of -1, where 1 is not real. Show that 12 = 1 - 1. (c) Hence simplify (1 - 1)6. [45]Prove that the vector dot product satisfies the distributive law for scalar multiplication the if u = (). = (3) and k is a real number, prove that k(u . v) = (ku)

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