Question
Multiply complex numbers: $$ 0 \cdot 0 $$
Answer
$$ 0 \cdot 0 = 0 $$
Explanation
To multiply complex numbers we can apply the FOIL method:
| Multiply the Firsts: | $ 0\cdot0 = 0$ |
| Multiply the Outers: | $ 0 \cdot 0 i = 0 \cdot i $ |
| Multiply the Inners: | $ 0 i \cdot 0 = 0 \cdot i $ |
| Multiply the Lasts: | $ \left( 0 i \right) \cdot \left( 0 i\right) = 0 i^2 = 0 \cdot (-1) = 0 $ |
Now we add all products together:
$$ z_1 \cdot z_2 = 0 + 0 i + 0 i + 0 = 0 $$This page was created using
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