Question

What is the distance between `(8, 6, 0)` and `(–1, 4, –2)`?

Answer 1

`sqrt89 ≈ 9.43`

Explanation:

To calculate the distance between these 2 points use the `color(blue)" 3-dimensional version of the distance formula"`

`d = sqrt((x_2 - x_1)^2 +(y_2 - y_1)^2 + (z_2 - z_1)^2`

where `(x_1,y_1,z_1) " and "(x_2,y_2,z_2) " are the coords of the 2 points"`

here let`(x_1,y_1,z_1) =(8,6,0) " and " (x_2,y_2,z_2) = (-1,4,-2)`

`rArr d = sqrt((-1-8)^2+(4-6)^2+(-2-0)^2) = sqrt(81+4+4) = sqrt89`