Question

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

Answer 1

The distance between the two points in 3-dimensional space can be obtained by

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}^{}_{}`

Therefore,

Let the points be represented

A=(4,-2,9)

and

B=(-5,9,-3)

Therefore

If we substitute the values into the formula

`\begin{gathered} d=\sqrt[]{(-5-4)^2+(9-(-2))^2+(-3-9)^2} \\ d=\sqrt[]{(-9)^2+(11)^2+(-12)^2} \\ d=\sqrt[]{81+121+144} \\ d=\sqrt[]{346} \\ d=18.601 \end{gathered}`