Question

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

Answer 1

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

Explanation:

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.`