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

1 Answer
Jan 3, 2016

sqrt165165 or 12.84512.845 units

Explanation:

You can use the distance formula to find out the distance between 2 points in space.

Distance, D=sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)D=(x2x1)2+(y2y1)2+(z2z1)2

Substituting the given values, we have,

D=sqrt((-5-(-4))^2+(5-(-3))^2+(-6-4)^2)D=(5(4))2+(5(3))2+(64)2

D=sqrt((-5+4)^2+(5+3)^2+(-10)^2)D=(5+4)2+(5+3)2+(10)2

D=sqrt(1+64+100)D=1+64+100

D=sqrt(165)D=165 or D=12.845 unitsD=12.845units