Question

What is the distance between `(-1,4,-4)` and `(13,15,-2)`?

Answer 1

`d=sqrt321~~17.92" to 2 dec. places"`

Explanation:

`"using the 3-d version 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)=(-1,4,-4)`

`"and "(x_2,y_2,z_2)=(13,15,-2)`

`d=sqrt((13+1)^2+(15-4)^2+(-2+4)^2)`

`color(white)(d)=sqrt(196+121+4)`

`color(white)(d)=sqrt321~~17.92" to 2 dec. places"`

Answer 2

Giving an understanding to 3D pythagerous

Explanation:

The distance formula is just this adapted...