Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Given that z₁ = 5 - 2i and z₂ = -1 - i. Find 2z₁ - z₂.
Options
A 1 - i
B 9 - 3i
C 6 - i
D 11 - 3i
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

2z₁ = 10 - 4i. 2z₁ - z₂ = (10 - 4i) - (-1 - i) = 10 - 4i + 1 + i = 11 - 3i.

Hint

Perform complex number arithmetic carefully.

Question Info