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Back to Calculate distance and midpoint on complex plane — Problem 3 · Task Set 12

Exercises: Calculate Distance and Midpoint on the Complex Plane

Show your work. Express distances as exact values (simplified radicals).

Grade 9·20 problems·~35 min·Common Core Math - HS Number and Quantity·standard·hsn-cn-b-6
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Warm-Up: Review What You Know

1.

Compute the modulus ∣z−w∣|z - w| where z=4+3iz = 4 + 3i and w=1+iw = 1 + i.

First compute z−wz - w, then find its modulus. Enter the exact value.