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MATH1061/1002/1021 (ND) MATH1061 Canvas Quiz 10
Single choice
Let \[u = 2 - 3i \text { and } v = -3 +i.\] Which of the following is the Cartesian form of the complex number \(u + uv\)?
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Step-by-Step Analysis
The problem asks for the Cartesian form of the complex number u + uv, given u = 2 - 3i and v = -3 + i.
First, compute the product uv:
- Multiply (2 - 3i) by (-3 + ......Login to view full explanationLog in for full answers
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The polar form of 𝑧 = − 6 7 + 3 2 7 𝑖 is: Hint: 𝑧 = 𝑎 + 𝑏 𝑖 = 𝑟 ( cos 𝜃 + 𝑖 sin 𝜃 ) where 𝑟 = 𝑎 2 + 𝑏 2 and 𝜃 = tan − 1 𝑏 𝑎 . Also, don't forget to plot the complex number on the Argand diagram.
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The figure shows the Argand diagram together with the complex number \(z\). If \(d=13\) and the imaginary part of \(z\) is \(-5\), find \(z\).
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