Find the distance between the points. $( 7 , - 7,3 ) , ( - 1 , - 4,7 )$
A) $\sqrt { 91 }$ units
B) $\sqrt { 89 }$ units
C) $3 \sqrt { 10 }$ units
D) $2 \sqrt { 23 }$ units
E) $\sqrt { 93 }$ units

Question

Find the distance between the points.  $( 7 , - 7,3 ) , ( - 1 , - 4,7 )$ 
A) $\sqrt { 91 }$ units
B) $\sqrt { 89 }$ units
C) $3 \sqrt { 10 }$ units
D) $2 \sqrt { 23 }$ units
E) $\sqrt { 93 }$ 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 $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2-z_1)^2}$. Substituting the given points, we get $\sqrt{(-1-7)^2 + (-4+7)^2 + (7-3)^2} = \sqrt{(-8)^2 + (3)^2 + (4)^2} = \sqrt{64 + 9 + 16} = \sqrt{89}$.

Find the Distance Between the Points (7,−7,3),(−1,−4,7)( 7 , - 7,3 ) , ( - 1 , - 4,7 )(7,−7,3),(−1,−4,7)

Find the Distance Between the Points $( 7 , - 7,3 ) , ( - 1 , - 4,7 )$