Question

What is the distance between `(3,-2,-2)` and `(5,-4,-6)`?

Answer 1

I tried this:

Explanation:

The distance between the two points can be found using a kind of extended Pythagoras formula:

`d_(1_2)=sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)`

so, using our coordinates given in the problem:

`d=sqrt((5-3)^2+[-4-(-2)]^2+[-6-(-2))^2]=sqrt(4+4+16)=sqrt(24)=4.89"units"`