What is the distance between $(0,1,-4)$ and $(-1,4,3)$ ?

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Answer 1 · 2016-09-29T12:58:01

$" The reqd. dist.="sqrt59~~7.68.$

The Distance $PQ$ btwn. pts. $P(x_1,y_1,z_1) & Q(x_2,y_2,z_2)$ is

$PQ=sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}.$

So, in our case, the reqd. dist. is,

$sqrt{(0+1)^2+(1-4)^2+(-4-3)^2}=sqrt(1+9+49)$

$=sqrt59~~7.68.$

What is the distance between (0,1,-4)(0,1,-4) and (-1,4,3)(-1,4,3)?