What is the distance between $(5, - 11, - 5)$ $(5,-11,-5)$ and $(4, - 13, 6)$ $(4,-13,6)$ ?

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What is the distance between $(5, - 11, - 5)$ $(5,-11,-5)$ and $(4, - 13, 6)$ $(4,-13,6)$ ?

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Answer 1 · 2015-12-19T18:35:34

Let $A (5, - 11, - 5)$ $A(5,-11,-5)$ and $B (4, - 13, 6)$ $B(4,-13,6)$ . We can now create the vector $A B (- 1, - 2, 11)$ $AB(-1,-2,11)$ . The distance between $A$ $A$ and $B$ $B$ is just the norm of the vector $A B$ $AB$ , which is $\sqrt{{(- 1)}^{2} + {(- 2)}^{2} + 11^{2}} = \sqrt{126}$ $sqrt((-1)^2 +(-2)^2 + 11^2) = sqrt(126)$

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What is the distance between $(5, - 11, - 5)$ $(5,-11,-5)$ and $(4, - 13, 6)$ $(4,-13,6)$ ?

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What is the distance between (5,−11,−5)(5,-11,-5) and (4,−13,6)(4,-13,6)?

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What is the distance between $(5, - 11, - 5)$ $(5,-11,-5)$ and $(4, - 13, 6)$ $(4,-13,6)$ ?