Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Given that z₁ = 1 - 7i and z₂ = -2 + 5i. Find the magnitude of z₁ - z₂.
Options
A 3√5
B 2.5
C 2√39
D √153
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

z₁ - z₂ = (1 - 7i) - (-2 + 5i) = 1 - 7i + 2 - 5i = 3 - 12i. |z₁ - z₂| = √(3² + (-12)²) = √(9 + 144) = √153.

Hint

Subtract the complex numbers, then find the modulus.

Question Info