Question

What is the distance between `(-7,5,6)` and `(-1,4,3)`?

Answer 1

`sqrt46~~6.78" to 2 dec. places"`

Explanation:

`"using the 3-d version of the "color(blue)"distance formula"`

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

`"let "(x_1,y_1,z_1)=(-7,5,6)`

`"and "(x_2,y_2,z_2)=(-1,4,3)`

`d=sqrt((-1+7)^2+(4-5)^2+(3-6)^2)`

`color(white)(d)=sqrt(6^2+(-1)^2+(-3)^2)`

`color(white)(d)=sqrt(36+1+9)=sqrt46~~6.78`