Question

Find the distance distance between z1=(10+4i) and z2=(6+3i)

Answer 1

√17

Explanation:

We find the difference between z₁ and z₂ to be (10 + 4i) - (6 + 3i) = 4 + i

In order to find the distance of this, we must add the squares of both of the coefficients (4 and 1 in this case) of this difference and then find the square root.

We find √(4² + 1²) = √17

Thus, the distance is √17

Answer 2

4 + i

Explanation:

(10+4i) - (6+3i)

10-6 = 4

4i - 3i = 1i

therefore it's 4 + i