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

Answer:

10

Step-by-step explanation:

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

$Z_1 - Z_2 = -7 - 6i - (-15 - 12i) = 8 + 6i\\|8 + 6i| = \sqrt{8^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10$