What is the distance between $P (3, - 2, - 3)$ $P(3,−2,−3)$ and $Q (7, 0, 1)$ $Q(7,0,1)$ ?

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What is the distance between $P (3, - 2, - 3)$ $P(3,−2,−3)$ and $Q (7, 0, 1)$ $Q(7,0,1)$ ?

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Answer 1 · 2014-08-22T06:30:40

The answer is 6.

$D = \sqrt{{(3 - 7)}^{2} + {(- 2 - 0)}^{2} + {(- 3 - 1)}^{2}}$ $D=sqrt((3-7)^2+(-2-0)^2+(-3-1)^2)$
$= \sqrt{16 + 4 + 16}$ $=sqrt(16+4+16)$
$= \sqrt{36}$ $=sqrt(36)$
$= 6$ $=6$

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