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Maslowich
3 years ago
5

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

Mathematics
1 answer:
iren2701 [21]3 years ago
5 0

Answer:

  10 units

Step-by-step 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.

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let's reduce the coefficients ( the numbers in front of the x and y) to make it easier.

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