Answer:
[tex]d = \sqrt{(0+3)^{2} + (3-3)^{2} + (-3+3)^{2}}[/tex]
Step-by-step explanation:
The distance formula for (x, y, z) is the same as the distance formula for (x, y), but with just one more added variable:[tex]d = \sqrt{(x2-x1)^{2} + *y2-y1)^{2} + (z2-z1)^{2}}[/tex]
If that is the case, we just plug in x, y, and z. But wait, we are missing point K coordinates. Simple enough. Point K is just a translation of point L by moving to the left. That means the coordinates are the same except for x, which will be -3 (so the coordinates would be (-3, 3, -3)). That just leaves us to plug it into the equation:
[tex]d = \sqrt{(0--3)^{2} + (3 - 3)^2 + (-3--3)^2}[/tex]
Simplifying it down gives you the answer in the answer. If you want to find an exact value, simply plug it into the calc. That will give you d = 3.
