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Coordinates of a Point in Space

The distance ...

Question

The distance between the points (-3,7,2) and (2,4,-1) is ___ .

5 units

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$\sqrt{41}$ units

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$\sqrt{43}$ units

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7 units

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Solution

The correct option is C
$\sqrt{43}$ units

The distance between the points (-3,7,2) and (2,4,-1),
$d = \sqrt{(- 3 - 2)^{2} + (7 - 4)^{2} + (- 1 - 2)^{2}} d = \sqrt{43}$

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Similar questions

Find the distance between the following pairs of points:

(i) (2, 3, 5) and (4, 3, 1)

(ii) (-3, 7, 2) and (2, 4, -1)

(iii) (-1, 3, -4) and (1, -3, 4)

(iv) (2, -1, 3) and (-2, 1, 3).

(6, 0)

(- 2, 4)

x

y

(x, y)

(- 2, 4)

5

(- 2, 4, - 5)

\frac{x - 2}{3} = \frac{y + 2}{1} = \frac{z + 1}{2}

(2, 4, - 1)

\frac{x + 5}{1} = \frac{y + 3}{4} = \frac{z - 6}{- 9}

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