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Question
Find the distance between the following pairs of points:
P(1, –1, 0) and Q(2, 1, 2)
Solution
PQ =\[\sqrt{\left( x_2 - x_1 \right)^2 + \left( y_2 - y_1 \right)^2 + \left( z_2 - z_1 \right)^2}\]
=\[\sqrt{\left( 2 - 1 \right)^2 + \left( 1 + 1 \right)^2 + \left( 2 - 0 \right)^2}\]
= \[\sqrt{1^2 + 2^2 + 2^2}\]
=\[\sqrt{1 + 4 + 4}\]
=\[\sqrt{9}\]
= 3
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