If z1 = 6 + 3i and z2 = 3 - 5i. Find z1z2?
- 33 - 21i
- 33 + 21i
- 3 + 21i
- None of these
Explanation
To find z1z2:
z1 = 6 + 3i
z2 = 3 - 5i
z1z2 = (6 + 3i)(3 - 5i)
= 18 - 30i + 9i - 15i^2
= 18 - 21i + 15 (since i^2 = -1)
= 33 - 21i
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