Length of the line segment joining the points | vedclass

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(C) Let the two complex numbers be $z_1 = -1 - i$ and $z_2 = 2 + 3i$.The distance between two points $z_1$ and $z_2$ in the complex plane is given by

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$5$

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(C) Let the two complex numbers be $z_1 = -1 - i$ and $z_2 = 2 + 3i$.The distance between two points $z_1$ and $z_2$ in the complex plane is given by the modulus of their difference,$|z_1 - z_2|$.$|z_1 - z_2| = |(-1 - i) - (2 + 3i)|$$= |-1 - i - 2 - 3i|$$= |-3 - 4i|$$= \sqrt{(-3)^2 + (-4)^2}$$= \sqrt{9 + 16}$$= \sqrt{25}$$= 5$.Thus,the length of the line segment is $5$.

Length of the line segment joining the points $-1 - i$ and $2 + 3i$ is

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