Find the distance between the points.
$$( 1,5,5 ) , ( - 2,6 , - 1 )$$
A) 14
B) 10
C) $\sqrt { 10 }$
D) $2 \sqrt { 46 }$
E) $\sqrt { 46 }$

Question

Quizplus · Accepted Answer

The distance between two points $ (x_1, y_1, z_1) $ and $ (x_2, y_2, z_2) $ is given by the formula:$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}$$Using this formula, we can find the distance between the given points:$$d = \sqrt{(-2 - 1)^2 + (6 - 5)^2 + (-1 - 5)^2}$$$$d = \sqrt{(-3)^2 + (1)^2 + (-6)^2}$$$$d = \sqrt{9 + 1 + 36}$$$$d = \sqrt{46}$$Therefore, the distance between the given points is $\sqrt { 46 }$.

Find the Distance Between the Points (1,5,5),(−2,6,−1)( 1,5,5 ) , ( - 2,6 , - 1 )(1,5,5),(−2,6,−1)

Find the Distance Between the Points $( 1,5,5 ) , ( - 2,6 , - 1 )$