Find the distance between the points.
$$( 1,9,3 ) , ( 5 , - 6,8 )$$
A) 20
B) 24
C) $2 \sqrt { 6 }$
D) $2 \sqrt { 266 }$
E) $\sqrt { 266 }$

Question

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 given points $(1,9,3)$ and $(5,-6,8)$, we get $\sqrt{(5-1)^2 + (-6-9)^2 + (8-3)^2} = \sqrt{4^2 + (-15)^2 + 5^2} = \sqrt{16 + 225 + 25} = \sqrt{266}$.

Find the Distance Between the Points (1,9,3),(5,−6,8)( 1,9,3 ) , ( 5 , - 6,8 )(1,9,3),(5,−6,8)

Find the Distance Between the Points $( 1,9,3 ) , ( 5 , - 6,8 )$