Math Help Is Required

Question

1. Find the distance between each pair of points A(1, 3, -2) and B(4, 2, 1).

2. Find the distance between each pair of points C(5, 3, 2) and D(0, 1, 7).

3. Find the distance between each pair of points E(-2, -1, 6) and F(-1, 3, 2).

4. Use what you know about the midpoint formula for a segment graphed on a regular

coordinate grid to make a conjecture about the formula for finding the coordinates of a

midpoint in three dimensions.

5. Find the midpoint for each segment in Exercises 1–3.

Answer 1

(1,3,-2) (4,2,1)

d=square root of sum of squared differences

d=sqr(9+1+3)=sqr13

midpoint in 3d

((x1+x2)/2, (y1+y2)/2, (z1+z2)/2)

take averages of the x's, y's and z's