Find the distance between the points. $( 0,0,0 ) , ( 5,2,6 )$
A) $65$ units
B) $66$ units
C) $\sqrt { 65 }$ units
D) $\sqrt { 66 }$ units
E) $\sqrt { 67 }$ units

Question

Find the distance between the points.  $( 0,0,0 ) , ( 5,2,6 )$ 
A) $65$ units
B) $66$ units
C) $\sqrt { 65 }$ units
D) $\sqrt { 66 }$ units
E) $\sqrt { 67 }$ units

Quizplus · Accepted Answer

The distance between two points $(x_1, y_1, z_1)$ and $(x_2, y_2, z_2)$ in 3D space is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}$. Applying this formula to the points $(0,0,0)$ and $(5,2,6)$, we get $\sqrt{(5-0)^2 + (2-0)^2 + (6-0)^2} = \sqrt{25 + 4 + 36} = \sqrt{65}$ units.

Find the Distance Between the Points (0,0,0),(5,2,6)( 0,0,0 ) , ( 5,2,6 )(0,0,0),(5,2,6)

Find the Distance Between the Points $( 0,0,0 ) , ( 5,2,6 )$