What is the distance in space between $(1, 0, 5)$ and $(- 3, 6, 3)$ ?

4

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6

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2 \sqrt{11}

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2 \sqrt{14}

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12

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Solution

The correct option is C $2 \sqrt{14}$
The distance between the points $(1, 0, 5)$ and $(- 3, 6, 3)$ is given below:
$D = \sqrt{{(3 - 5)}^{2} + {(6 - 0)}^{2} + {(- 3 - 1)}^{2}}$
$= \sqrt{{(- 2)}^{2} + {(6)}^{2} + {(- 4)}^{2}}$
$= \sqrt{4 + 36 + 16} = \sqrt{56}$
$= 2 \sqrt{14}$

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