Question

What is the distance between #(–3, 2, –3) `and`(0, 4, –2) #?

Answer 1

`color(violet)("Distance " d = sqrt 14 ~~ 3.74 " units"`

Explanation:

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

`"Given : " (x_1, y_1, z_1) = (-3, 2, -3), (x_2, y_2, z_2) = (0, 4, -2)`

`d = sqrt ((0+3)^2 + (4-2)^2 + (-2+3)^2) = sqrt (9 + 4 + 1)`

`color(violet)("Distance " d = sqrt 14 ~~ 3.74 " units"`