Find the length of the segment AB and the coordinates of its midpoint if ta with coordinates

Find the length of the segment AB and the coordinates of its midpoint if ta with coordinates (1; 3; 4), and тB with coordinates (-1; 4; 2)

Find the length of the segment AB if the coordinates of the points are known.

T. A (1; 3; 4);

T. B (-1; 4; 2).

| AB | = √ ((x2 – x1) ² + (y2 – y1) ² + (z2 – z1) ²) = √ ((- 1 – 1) ² + (4 – 3) ² + (2 – 4) ²) = √ ((- 2) ² + (1) ² + (-2) ²) = √) 4 + 1 + 4) = √9 = √3² = 3;

Let’s find the coordinates of its midpoint of the segment AB.

С (x; y; z) – coordinates of the midpoint of the segment AB.

x = (1 + (-1)) / 2 = 0/2 = 0;

y = (3 + 4) / 2 = 7/2 = 3.5;

z = (4 + 2) / 2 = 6/2 = 3;

Answer: | AB | = 3.

C (0; 3.5; 3).