Question

What is the distance between (10,1,−4) and (−1,−1,3)?

Answer 1

$\sqrt{ {(x2 - x1) }^{2} + {(y2 - y1)}^{2} + {(z2 - z1)}^{2} } \\ = \sqrt{( - 1 - 10 ){}^{2} + { (- 1 - 1)}^{2} + {(3 + 4)}^{2} }^{2} \\ = \sqrt{121 + 4 + 49} \\ = \sqrt{174}$

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