Question

What is the distance between `C(1, 2,3)` and `D(3,0,3)`?

Answer 1

`2sqrt2`

Explanation:

`"using the 3-d version of the distance formula"`

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

`(x_1,y_1,z_1)=C(1,2,3),(x_2,y_2,z_2)=D(3,0,3)`

`d_(AC)=sqrt((3-1)^2+(0-2)^2+(3-3)^2)`

`color(white)(xxx)=sqrt(4+4+0)=sqrt8=2sqrt2`