Question

What is the distance between `(-7,12,-10)` and `(2,-3,-16)`?

Answer 1

`sqrt342~~18.493" to 3 dec. places"`

Explanation:

`"using the 3 dimensional form of the "color(blue)"distance formula"`

`•color(white)(x)d=sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2`

`"let "(x_1,y_1,z_1)=(-7,12,-10)`

`"and "(x_2,y_2,z_2)=(2,-3,-16)`

`d=sqrt((2+7)^2+(-3-12)^2+(-16+10)^2`

`color(white)(d)=sqrt(81+25+36)=sqrt342~~18.493`