Question

What is the distance of the (2, 3, 5) and (2, 7, 4)?

Answer 1

`sqrt17`

Explanation:

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

`color(red)(|bar(ul(color(white)(a/a)color(black)(d =sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2))color(white)(a/a)|)))`

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

let `(x_1,y_1,z_1)=(2,3,5)" and " (x_2,y_2,z_2)=(2,7,4)`

`rArr d = sqrt((2-2)^2+(7-3)^2+(4-5)^2`

`= sqrt(0+16+1) = sqrt17`