Find the distance between the following pairs | vedclass

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Question

(A) The distance between points $P(x_{1}, y_{1}, z_{1})$ and $Q(x_{2}, y_{2}, z_{2})$ is given by the formula:$PQ = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y

Vedclass · Accepted Answer

$2 \sqrt{5}$

Vedclass · Answer

(A) The distance between points $P(x_{1}, y_{1}, z_{1})$ and $Q(x_{2}, y_{2}, z_{2})$ is given by the formula:$PQ = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} + (z_{2}-z_{1})^{2}}$Given points are $(2, -1, 3)$ and $(-2, 1, 3)$.Substituting the values into the formula:$Distance = \sqrt{(-2 - 2)^{2} + (1 - (-1))^{2} + (3 - 3)^{2}}$$= \sqrt{(-4)^{2} + (2)^{2} + (0)^{2}}$$= \sqrt{16 + 4 + 0}$$= \sqrt{20}$$= \sqrt{4 	imes 5} = 2 \sqrt{5}$

Find the distance between the following pairs of points: $(2, -1, 3)$ and $(-2, 1, 3)$.

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