4 (a) Evaluate -j 1-j3 and express your answer in Cartesian form (x + yj) (b)...

 

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4 (a) Evaluate -j 1-j3 and express your answer in Cartesian form (x + yj) (b) On an Argand diagram illustrate the locations of the distinct cube roots of -27j. (c) By any valid method, find the distinct cube roots of 27 j and express your answers in Cartesian form (x + yj). Bonus question: [4] [5] [5] Wk (d) For each distinct cube root of -27j, Wk let = @k W, k Show that the product of any two distinct @ is a cube root of -1. [+5] 4 (a) Evaluate -j 1-j3 and express your answer in Cartesian form (x + yj) (b) On an Argand diagram illustrate the locations of the distinct cube roots of -27j. (c) By any valid method, find the distinct cube roots of 27 j and express your answers in Cartesian form (x + yj). Bonus question: [4] [5] [5] Wk (d) For each distinct cube root of -27j, Wk let = @k W, k Show that the product of any two distinct @ is a cube root of -1. [+5]