Q 26 - Calculus

Question

Find the distance between the points  (4, 5, 8, -2) and (-1, 3, -3, 6)

Step-by-Step Solution

Answer

The required distance is $\sqrt{214}$ 

Given information

The given points are  (4, 5, 8, -2) and (-1, 3, -3, 6).

Finding the distance

The distance between the points as per formula is:

$\sqrt{{(-1-4)}^2+{(3-5)}^2+{(-3-8)}^2+{(6-(-2\left)\right)}^2}$

Simplifying:

$\sqrt{25+4+121+64}$

Simplify further:

$\sqrt{214}$