What is the distance between (-2,11,4) and (1,2,-5)?

Mar 18, 2016

$\text{displacement:" 13,08 " unit}$

Explanation:

${P}_{1} \left(x , y , z\right) \text{ } {P}_{2} \left(a , b , c\right)$
$\Delta x = a - x$
$\Delta y = b - y$
$\Delta z = c - z$
$\Delta x = 1 - \left(- 2\right) = 3$
$\Delta y = 2 - 11 = - 9$
$\Delta z = - 5 - 4 = - 9$
$\text{distance=} \sqrt{{\left(\Delta x\right)}^{2} + {\left(\Delta y\right)}^{2} + {\left(\Delta z\right)}^{2}}$

$\text{distance} = \sqrt{{3}^{2} + {\left(- 9\right)}^{2} + {\left(- 9\right)}^{2}}$

$\text{distance:} \sqrt{9 + 81 + 81} = \sqrt{171}$
$\text{displacement:" 13,08 " unit}$