What is the distance between $(15,3,-4)$ and $(21,-6,-2)$ ?

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Answer 1 · 2016-04-28T13:40:13

$distance=11$

$A=(15,3,-4)$

$a_x=15$
$a_y=3$
$a_z=-4$

$B=(21,-6,-2)$

$B_x=21$
$B_y=-6$
$B_z=-2$

$x^2=(B_x-A_x)^2$

$x^2=(21-15)^2" "x^2=6^2" "x^2=36$

$y^2=(B_y-A_y)^2$

$y^2=(-6-3)^2" "b_y^2=-9^2" "b_y^2=81$

$z^2=(B_z-A_z)^2$

$z^2=(-2+4)^2" "z^2=2^2" "z^2=4$

$distance=sqrt(x^2+y^2+z^2)$

$distance=sqrt(36+81+4)$

$distance=11$

What is the distance between (15,3,-4)(15,3,-4) and (21,-6,-2)(21,-6,-2)?