Final answer:
Without specific information on the vectors u and v, the interval for a scalar to transform u to v cannot be conclusively identified. The scalar's sign and magnitude depend on the direction and lengths of the vectors involved.
Step-by-step explanation:
The original question seems to contain unrelated information and what appears to be a misinterpretation regarding the transformation of vector u to vector v by scalar multiplication. To determine which interval contains a scalar that can transform one vector to another, one must consider the direction and magnitude of both vectors. If vector u must be transformed to vector v and they are in the same direction, a positive scalar is needed. If the vectors are in opposite directions, a negative scalar is required. The magnitude of the scalar would depend on the relative lengths of vector u and vector v. Without specific information about the vectors, the intervals mentioned (a through d) cannot be used to conclusively identify the required scalar.