Q 23 - Calculus

Question

Find the distance between the points  (1, 4, 7) and (-2, 3, 5).

Step-by-Step Solution

Answer

The required distance is $\sqrt{14}$

Given information

The given two points are  (1, 4, 7) and (-2, 3, 5).

Finding the required distance

The distance between two points as per formula is:

$\sqrt{{(-2-1)}^2+{(3-4)}^2+{(5-7)}^2}$

Simplify:

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

Further simplify:

$\sqrt{14}$