Complex Subtraction/Examples/(7 + i) - (4 - 2i)/Proof 1
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Example of Complex Subtraction
- $\paren {7 + i} - \paren {4 - 2 i} = 3 + 3 i$
Proof
| \(\ds \paren {7 + i} - \paren {4 - 2 i}\) | \(=\) | \(\ds \paren {7 - 4} + \paren {1 - \paren {-2} } i\) | Definition of Complex Subtraction | |||||||||||
| \(\ds \) | \(=\) | \(\ds 3 + 3 i\) |
$\blacksquare$
Sources
- 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $1$: Complex Numbers: Supplementary Problems: Graphical Representation of Complex Numbers. Vectors: $61 \ \text {(b)}$