Question

What is the distance between z1 = 5 - 2i and z2 = 8 + i?

3√2
13.3
2√3
18

Answer 1

d=2√10

Explanation:

The distance between the two points will be given by:

d=√[(x-x1)^2+(y-y1)^2]

point z1=(3-2i) has the coordinates of (3,-2)

point z2=(5-8i) has the coordinates of (5,-8)

thus the distance between them will be:

d=√[(-8-(-2)²+(5-3)²)]

d=√[(-6)²+2²]

d=√(36+4)

d=√40

d=2√10

Answer 2

3√2

Explanation:

distance formula: d = √(a₁ - a₂)² + (b₁ - b₂)²

a = x, b = y

d = √(x₁ - x₂)² + (y₁ - y₂)²