Question

What is the distance between `(3, –1, 1)` and `(0, 4, –2)`?

Answer 1

`sqrt43~~6.557" to 3 dec. places"`

Explanation:

`"using the 3 dimensional form 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)=(3,-1,1)`

`"and "(x_2,y_2,z_2)=(0,4,-2)`

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

`color(white)(d)=sqrt(9+25+9)=sqrt43~~6.557`