A displacement vector r in the xy plane is 15m long and directed ...

Incomplete.

To determine the components of the vector, we'll need to know the angle it makes with the positive x-axis. Without that information, we won't be able to fully describe the direction of the vector.

However, if we assume that the vector is directed along the positive x-axis, then the x-component of the vector would be 15m and the y-component would be 0m. This is because a vector directed solely along the x-axis has no vertical (y-component) displacement.

If you have the angle at which the vector is directed, please provide that information so we can provide a more accurate and complete description of the vector.