Question

If A=(2,-3,-4) and B(6,7,-4), find ||AB||. Round to 3 decimal places.Type your answer...

Answer 1

The rule we will use is

`\parallel AB\parallel=\sqrt[]{(x2-x1)^2+(y2-y1)^2+(z2-z1)^2}`

x1 = 2 and x2 = 6

y1 = -3 and y2 = 7

z1 = -4 and z2 = -4

`\parallel AB\parallel=\sqrt[]{(6-2)^2+(7--3)^2+(-4--4)^2}`

Now we will find the answer in decimal using the calculator

The answer is 10.77032961

Round it to 3 decimal places, then

`\parallel AB\parallel=10.770`