If |z| = 3, the area of the triangle whose vertices are z, wz and z + wz (where w is a complex cube root of unity) is
Question
Solution 1
Sure, let's solve the problem step by step.
Step 1: Given that |z| = 3, we know that z lies on a circle with radius 3 centered at the origin.
Step 2: Let's find the complex cube root of unity, denoted as w. The cube roots of unity are 1, e^(2πi/3), and e^(4πi/3). So, w can be any of these three va Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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