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Sample Question of the Day
Short answer📘 N.CN.B.6🧠 DOK 1
Question:
Given the complex numbers z1 = 3 + 4i and z2 = 1 + 2i, calculate the distance between these two complex numbers.
✅ Answer:
The distance between the complex numbers z1 and z2 is 2√2.
💡 Explanation:
To find the distance between two complex numbers z1 and z2, we calculate the modulus of the difference between them.
First, find the difference: z1 - z2 = (3 + 4i) - (1 + 2i) = 2 + 2i.
The modulus is given by |2 + 2i| = √((2)^2 + (2)^2) = √(4 + 4) = √8 = 2√2.
Standard: N.CN.B.6 | DOK: 1