Explain how the change in a vector can occur due to rotation of the vector itself or rotation of the frame of reference.

Question 6:

The change in a vector may occur due to rotation of the vector itself (changing its direction) or rotation of the frame of reference (changing its components relative to the new frame).

Step 1: Analyze the effect of "Rotation of frame of reference".
If the coordinate system (frame of reference) rotates, the components of a vector, when expressed in that frame, will change. For example, a vector pointing along the x-axis in one frame will have both x and y components in a frame rotated by $45^\circ$. While the intrinsic vector quantity itself (its magnitude and direction in absolute space) remains unchanged, its representation (components) in the rotated frame changes. In many contexts, a change in components is considered a "change in a vector".