Final answer:
The length of line segment UW is 14 units, which is obtained by adding the lengths of segments UV (11 units) and VW (3 units).
Step-by-step explanation:
The question poses a problem that involves determining the length of a line segment. Specifically, if point V is on line segment UW, with VW measuring 3 units and UV measuring 11 units, the length of the entire segment UW is found by adding the lengths of segments UV and VW together. This is because line segment UW is comprised of UV and VW.
UV = 11 units
VW = 3 units
UW = UV + VW = 11 units + 3 units
Therefore, the length of UW is:
UW = 14 units