Final answer:
The question is about Mathematics, specifically vector spaces. To show that set w is a subspace, vectors u and v should satisfy closure properties such as being closed under addition and scalar multiplication.
Step-by-step explanation:
The question provided contains elements of physics, specifically kinematics and vector analysis, and overlaps with mathematics due to the involvement of vector spaces and calculations. However, due to the nature of the terms mentioned such as vector spaces, u and v, and the concept of a subspace, the primary subject can be identified as Mathematics.
To determine whether w is a subspace, we need to check if it is closed under addition and scalar multiplication. If vectors u and v are in w, then their sum, u+v, should also be in w. Similarly, for any scalar k, the vector k*u should be part of w. Without the specific form of the vectors provided, we can't give explicit examples of u and v, but these are the general conditions to show that w constitutes a subspace of the larger vector space.