Given points A and B A (1; -3; 0) B (-2; -4; 1) find the coordinates of the midpoint of the segment AB

Given points A and B A (1; -3; 0) B (-2; -4; 1) find the coordinates of the midpoint of the segment AB find the length of the segment AB.

1. Given the coordinates of points A and B:
A (1; -3; 0);
B (-2; -4; 1).
Find the coordinates of the midpoint of the segment AB and its length.
2. Let the point M be the midpoint of the segment AB. Then its coordinates are determined by the formulas:
x (M) = (x (A) + x (B)) / 2 = (1 – 2) / 2 = -1/2;
y (M) = (y (A) + y (B)) / 2 = (-3 – 4) / 2 = -7/2;
z (M) = (z (A) + z (B)) / 2 = (0 + 1) / 2 = 1/2;
M (-1/2; -7/2; 1/2).
3. Length of segment AB:
| AB | = √ ((x (B) – x (A)) ² + (y (B) – y (A)) ² + (z (B) – z (A)) ²);
| AB | = √ ((- 2 – 1) ² + (-4 + 3) ² + (1 – 0) ²) = √ ((- 3) ² + (-1) ² + 1²) = √ (9 + 1 + 1) = √11.
Answer: (-1/2; -7/2; 1/2); √11.