Question

Find the distance between the points with coordinates (0,-2,0), (3,0,-6).​

Answer 1

`C)~ 7~ \text{units}.`

Explanation:

`\text{Given that,}~ (x_1,y_1,z_1) = (0,-2,0)~ \text{and}~ (x_2,y_2,z_2) = (3,0,-6)\\\\\text{Distance,}~ d = √((x_2 -x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2)\\\\~~~~~~~~~~~~~~~=√((3-0)^2 + (0+2)^2 +(-6-0)^2)\\\\~~~~~~~~~~~~~~~=√(3^2 +2^2 +(-6)^2)\\\\~~~~~~~~~~~~~~~=√(9+4+36)\\\\~~~~~~~~~~~~~~~=√(49)\\\\~~~~~~~~~~~~~~~=7~ \text{units}.`