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1 vote
Z1 = 3 - 5i and z2 = 11 - 11i find the distance between Z1 and Z2

User Dasfima
by
7.2k points

2 Answers

1 vote

Answer: 10 units

Explanation:

User Ersen
by
8.7k points
7 votes

Answer:

10 units

Explanation:

The difference between the points is ...

z2 -z1 = (11 -11i) -(3 -5i) = (11 -3) +(-11 -(-5))i = 8 -6i

The magnitude of that difference is ...

d = √(8² +(-6)²) = √(64 +36) = √100 = 10

The distance between z1 and z2 is 10 units.

User Atron Seige
by
8.0k points