Question

Compute the distance between (9,-5,4) and (-10,3,4)

Answer 1

Answer:

~20.6155

Step-by-step explanation:

To compute distance between two points, we can get the vector from one to the other by subtracting them and then computing the length of the vector.

The length of a vector V is:

$|V| = \sqrt{\sum_{i=1}^n v_i^2}$

The vector is:

(9, -5. 4) - (-10, 3, 4) = (9 + 10, -5 - 3, 4 - 4) = (19, -8, 0)

So the length is:

$\sqrt{19^2 + (-8)^2} = \sqrt{361 + 64} = \sqrt{425} = \sqrt{5\cdot 5\cdot 17} = 5\sqrt{17} \approx 20.6155281281$