Chapter 13.5, Problem 3PSA

To determine

To find:The distance from P to D.

Answer to Problem 3PSA

The distance from P to D is 7.8

Explanation of Solution

Given:

The point is given as,

  $\text{P}=\left[3,4,12\right]$ and $\text{D}=\left[-1,-2,9\right]$

Calculation:

The distance is calculated as,

  $d=\sqrt{{\left(x_1-y_1\right)}^2+{\left(x_2-y_2\right)}^2+{\left(x_3-y_3\right)}^2}$

Substitute the values in the above equation,

  $\begin{array}{c}\text{PO}=\sqrt{{\left(3-\left(-1\right)\right)}^2+{\left(4-\left(-2\right)\right)}^2+{\left(12-9\right)}^2}\\ =\sqrt{16+36+9}\\ =\sqrt{61}\\ =7.8\end{array}$

Thus, the distance from P to D is 7.8.