Question
Which two of the three points $P_{1}=(1,2,3), P_{2}=$ (3,2,1) and $P_{3}=(1,1,0)$ are closest to each other?
Step 1
We use the distance formula which is $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}+(z_{2}-z_{1})^{2}}$. Substituting the coordinates of $P_{1}$ and $P_{2}$ into the formula, we get $\sqrt{(3-1)^{2}+(2-2)^{2}+(1-3)^{2}}=\sqrt{8}\approx 2.83$. Show more…
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