Question

Find the distance d between 21 = (-7 - 6i) and Z2 = (-15 – 12i). Express your answer in exact terms and simplify, if needed.​

Answer 1

10

Explanation:

The distance is equal to the modulus of Z1-Z2.

`Z_1 - Z_2 = -7 - 6i - (-15 - 12i) = 8 + 6i\\|8 + 6i| = √(8^2 + 6^2) = √(64 + 36) = √(100) = 10`