Question

Determine the distance between each pair of points. Then determine the coordinates of the midpoint M of the segment joining the pair of points.
F (3/5, 0, 4/5) and G(0,3,0)

Answer 1

The midpoint is at (3/10 , 3/2 , 4/10)

In the given statement is

To find the midpoint of the line segment joining the pair of points

F (3/5, 0, 4/5) and G(0,3,0)

Midpoint:

The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.

m = (A +B)/2

If we are given three points and we wish to find the midpoint of those points, we need to use the midpoint formula m =($\frac{x_{1}+x_{2} }{2}$, $\frac{y_{1}+y_{2} }{2} , \frac{z_{1}+z_{2} }{2}$)

where:

(x1 , y1 ,z1) are the coordinates of the first point:

(x2 , y2 , z2) are the coordinates of the second point:

Now, We are given the three points F (3/5, 0, 4/5) and G(0,3,0)

Solving for the midpoint , we have,

m = ($\frac{3/5+0}{2} , \frac{0+3}{2} ,\frac{4/5+0}{2}$)

m = (3/10 , 3/2 , 4/10)

Therefore, the midpoint is at (3/10 , 3/2 , 4/10)

Learn more about Midpoint at :

brainly.com/question/14547479

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