Compute the distance between the points.
-$( 4,4 , - 6 ) , ( - 4,5,10 )$
A) $- 9$
B) $\sqrt { 321 }$
C) $- \sqrt { 321 }$
D) $3 \mathrm { i }$

Question

Quizplus · Accepted Answer

The distance between two points 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 $(4,4,-6)$ and $(-4,5,10)$, we get $\sqrt{(-4-4)^2 + (5-4)^2 + (10-(-6))^2} = \sqrt{64 + 1 + 256} = \sqrt{321}$.

Compute the Distance Between the Points (4,4,−6),(−4,5,10)( 4,4 , - 6 ) , ( - 4,5,10 )(4,4,−6),(−4,5,10)

Compute the Distance Between the Points $( 4,4 , - 6 ) , ( - 4,5,10 )$