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63. [R] Let z be a complex number. Prove that |z Re(z)| |z z| for all real numbers . Draw a sketch to illustrate the

63. [R] Let z be a complex number. Prove that |z Re(z)| |z z| for all real numbers . Draw a sketch to illustrate the result. 64. [H] Let z, w be complex numbers. a) Sketch the subset of the complex plane defined by w = & for 7

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