Q 27 - Calculus

Question

Find the distance between  (-1, 3, 5, 2, 0) and (0, 6, 1, -2, 3).

Step-by-Step Solution

Answer

The required distance is $\sqrt{51}$

Given information

The given points are  (-1, 3, 5, 2, 0) and (0, 6, 1, -2, 3).

Finding the distance

The distance may be found as under:

$\sqrt{(0-{(-1))}^2+{(6-3)}^2+{(1-5)}^2+{(-2-2)}^2+{(3-0)}^2}$

Simplifying:

$\sqrt{1+9+16+16+9}$

Further simplify:

$\sqrt{51}$