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

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Answer 1 · 2016-12-22T19:58:19

$"the distance between "(-6,3,4)" and "(-2,2,6)" is "sqrt(21)" units"$

$"distance between "A(x_1,y_1,z_1) " and " B(x_2,y_2,z_2) " is calculated using :"$

$d=sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2$

$"for "A(-6,3,4)" and "B(-2,2,6)$

$d=sqrt((-2-(-6))^2+(2-3)^2+(6-4)^2)$

$d=sqrt((-2+6)^2+(-1)^2+(2)^2)$

$d=sqrt(16+1+4)$

$d=sqrt(21)$

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