Question

Find the distance between the complex numbers. z1 = 9 - 9i z2 = 10 - 9i

Answer 1

1

Explanation:

Just finished Quiz 4: Complex Numbers, of which this was one of the questions.

Answer 2

The distance between the two given complex numbers = 9

Explanation:

Explanation:-

Step(i):-

Given Z₁ = 9 - 9 i and Z₂ = 10 -9 i

Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane

⇒ A = Z₁ = x₁ +i y₁ = 9 - 9 i and

B = Z₂ = x₂+ i y₂ = 10 -9 i

Let (x₁ , y₁) = ( 9, -9)

(x₂, y₂) = (10, -9)

Step(ii):-

The distance between the two points are

A B =
`\sqrt{(x_(2) - x_(1))^(2)+(y_(2) - y_(1))^(2) }`

A B =
`\sqrt{(10 - 1)^(2)+(-9 - (-9))^(2) }`

AB =
`\sqrt{(9)^(2) +(-9+9)^(2) }`

AB = √81 = 9

Conclusion:-

The distance between the two given complex numbers = 9