What is the distance between $(8, 6, 2)$ $(8, 6, 2)$ and $(4, 3, 1)$ $(4, 3, 1)$ ?

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What is the distance between $(8, 6, 2)$ $(8, 6, 2)$ and $(4, 3, 1)$ $(4, 3, 1)$ ?

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Answer 1 · 2016-02-28T12:49:37

$\sqrt{26}$ $sqrt (26)$

Explanation:

Using the distance formula for 3-D space viz

$d = \sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2} + {(z_{2} - z_{1})}_{2}^{2}}$ $d = sqrt ((x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2)$

Where

$(x_{1}, y_{1}, z_{1})$ $(x_1, y_1, z_1)$ = (8, 6, 2)

$(x_{2}, y_{2}, z_{2})$ $(x_2, y_2, z_2)$ = (4, 3, 1)

Substitute in distance formula

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What is the distance between $(8, 6, 2)$ $(8, 6, 2)$ and $(4, 3, 1)$ $(4, 3, 1)$ ?

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What is the distance between (8,6,2)(8, 6, 2) and (4,3,1) (4, 3, 1) ?

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What is the distance between $(8, 6, 2)$ $(8, 6, 2)$ and $(4, 3, 1)$ $(4, 3, 1)$ ?