Complex Subtraction/Examples/(6 - 2i) - (2 - 5i)/Proof 1
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Example of Complex Subtraction
- $\paren {6 - 2 i} - \paren {2 - 5 i} = 4 + 3 i$
Proof
| \(\ds \paren {6 - 2 i} - \paren {2 - 5 i}\) | \(=\) | \(\ds \paren {6 - 2} + \paren {-2 - \paren {-5} } i\) | Definition of Complex Subtraction | |||||||||||
| \(\ds \) | \(=\) | \(\ds 4 + 3 i\) |
$\blacksquare$
Sources
- 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $1$: Complex Numbers: Solved Problems: Graphical Representation of Complex Numbers. Vectors: $5 \ \text{(b)}$