What is the distance between $(5, –6, 4)$ and $(4, –1, 2)$ ?

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Answer 1 · 2016-08-03T08:47:19

The distance between $(5,-6,4)$ and $(4,-1,2)$ is $5.477$

The distance between two points whose coordinates are $(x_1,y_1,z_1)$ and $(x_2,y_2,z_2)$ is given by

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

Hence, the distance between $(5,-6,4)$ and $(4,-1,2)$ is

$sqrt((4-5)^2+((-1)-(-6))^2+(2-4)^2)$

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

= $sqrt(1+5^2+4)$

= $sqrt(1+25+4)=sqrt30=5.477$

What is the distance between (5, –6, 4) (5, –6, 4) and (4, –1, 2)(4, –1, 2)?