Find the midpoint of the line segment joining the points.
$$( - 2 , - 7,3 ) , ( - 3 , - 4 , - 6 )$$
A) $\left( \frac { 1 } { 2 } , \frac { - 3 } { 2 } , \frac { 9 } { 2 } \right)$
B) $\left( \frac { - 5 } { 2 } , \frac { - 11 } { 2 } , \frac { - 3 } { 2 } \right)$
C) $( - 5 , - 11 , - 3 )$
D) $( 1 , - 3,9 )$
E) $( 6,28 , - 18 )$

Question

Quizplus · Accepted Answer

The midpoint of a line segment in three dimensions is found by averaging the x, y, and z coordinates of the endpoints separately. For the given points $(-2, -7, 3)$ and $(-3, -4, -6)$, the midpoint is calculated as follows: $$\left( \frac{-2 + (-3)}{2}, \frac{-7 + (-4)}{2}, \frac{3 + (-6)}{2} \right) = \left( \frac{-5}{2}, \frac{-11}{2}, \frac{-3}{2} \right).$$

Find the Midpoint of the Line Segment Joining the Points (−2,−7,3),(−3,−4,−6)( - 2 , - 7,3 ) , ( - 3 , - 4 , - 6 )(−2,−7,3),(−3,−4,−6)

Find the Midpoint of the Line Segment Joining the Points $( - 2 , - 7,3 ) , ( - 3 , - 4 , - 6 )$