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If z1 = 2 + 2i and z2 = 3 - i, find z1 + z2. (2023)
If z1 = 2 + 2i and z2 = 3 - i, find z1 + z2. (2023)
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Practice Questions
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Q1
If z1 = 2 + 2i and z2 = 3 - i, find z1 + z2. (2023)
5 + i
5 + 3i
1 + i
1 - i
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z1 + z2 = (2 + 2i) + (3 - i) = 5 + i.
Questions & Step-by-step Solutions
1 item
Q
Q: If z1 = 2 + 2i and z2 = 3 - i, find z1 + z2. (2023)
Solution:
z1 + z2 = (2 + 2i) + (3 - i) = 5 + i.
Steps: 5
Show Steps
Step 1: Identify the two complex numbers. Here, z1 = 2 + 2i and z2 = 3 - i.
Step 2: Write down the expression for addition: z1 + z2 = (2 + 2i) + (3 - i).
Step 3: Combine the real parts: 2 (from z1) + 3 (from z2) = 5.
Step 4: Combine the imaginary parts: 2i (from z1) - i (from z2) = 2i - 1i = 1i.
Step 5: Write the final result by combining the real part and the imaginary part: 5 + i.
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