Find the distance between the points.
$$( 2 , - 3,3 ) , ( - 6,2,7 )$$
A) 5
B) 17
C) $\sqrt { 17 }$
D) $2 \sqrt { 105 }$
E) $\sqrt { 105 }$

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 $(2, -3, 3)$ and $(-6, 2, 7)$, we get $\sqrt{(-6 - 2)^2 + (2 - (-3))^2 + (7 - 3)^2} = \sqrt{64 + 25 + 16} = \sqrt{105}$.

Find the Distance Between the Points (2,−3,3),(−6,2,7)( 2 , - 3,3 ) , ( - 6,2,7 )(2,−3,3),(−6,2,7)

Find the Distance Between the Points $( 2 , - 3,3 ) , ( - 6,2,7 )$