Question

What is the distance between points A begin ordered triple (0,0,8) end ordered triple and B begin ordered triple (0,6,0) end ordered triple?
Answer is 10 units, but why is this rational?

Answer 1

Step 1: Obtain the difference vector AB= (0-0, 0-6, 8-0)=(0, -6, 8) it size (module) is the distance between A and B Step 2: Add-Up the squares of its components: 0^2+(-6)^2 + 8^2=100 Step3: Extract the squareroot of the above: sqrt(100)=10 Voilá!