Find the distance between the points given below. $( - 4,2 , - 3 ) , ( 0,5,1 )$
A) $\sqrt { 41 }$ or $6.4031$ to four decimal places.
B) $2 \sqrt { 10 }$ or $6.3246$ to four decimal places.
C) $\sqrt { 42 }$ or $6.4807$ to four decimal places.
D) $\sqrt { 43 }$ or $5.9161$ to four decimal places.
E) $\sqrt { 43 }$ or $6.5574$ to four decimal places.

Question

Quizplus · Accepted Answer

The distance between two points in 3D space is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}$. Plugging in the given points $(-4, 2, -3)$ and $(0, 5, 1)$, we get $\sqrt{(0 - (-4))^2 + (5 - 2)^2 + (1 - (-3))^2} = \sqrt{16 + 9 + 16} = \sqrt{41}$, which is approximately $6.4031$ when rounded to four decimal places.

Find the Distance Between the Points Given Below (−4,2,−3),(0,5,1)( - 4,2 , - 3 ) , ( 0,5,1 )(−4,2,−3),(0,5,1)

Find the Distance Between the Points Given Below $( - 4,2 , - 3 ) , ( 0,5,1 )$