Chan Blake
03/08/2024 · Middle School
\( 10 z_{1}=2+3 i, z_{2}=-2+5 i, z_{3}=-1+4 i \) and \( \omega=1+i \) (a) Plot \( z_{1}, z_{2} \) and \( z_{3} \) on the same Argand diagram. (b) Calculate \( z_{1}+\omega, z_{2}+\omega \) and \( z_{3}+\omega \). (c) Plot the answers to part (b) on the same Argand diagram as part (a). (d) Describe the translation that is the addition of \( \omega \).
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- (a) Plot \( z_{1}, z_{2}, z_{3} \) on the Argand diagram at coordinates (0.2, 0.3), (-2, 5), and (-1, 4).
- (b) Calculate \( z_{1}+\omega, z_{2}+\omega, z_{3}+\omega \) to be (1.2, 1.3), (-1, 6), and (0, 5).
- (c) Plot the new points on the Argand diagram.
- (d) The addition of \( \omega \) translates each point 1 unit right and 1 unit up.
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