Final answer:
The length of line segment AB, with coordinates A(2,14) and B(2,3), is 11 units, calculated by taking the difference between the y-coordinates since the x-coordinates are the same.
Step-by-step explanation:
The length of line segment AB, given the coordinates A(2,14) and B(2,3), can be found by calculating the distance between the y-coordinates since the x-coordinates are the same. The length of segment AB is simply the difference in the y-coordinates of points A and B.
To calculate the distance, subtract the y-coordinate of B from the y-coordinate of A: 14 - 3 = 11. Therefore, the length of line segment AB is 11 units.