Why we take components of velocity in this question ?

Dear Student,
​​​​​​The block is moving along an inclined plane and that is the reason behind taking components of velocity.
The wedge is moving along the ground while the block is moving along a plane.
Using the concept of free body diagram, we need to resolve the forces acting on the block into two directions:
1. Parallel to the ground (Horizontal)
2. Perpendicular to the ground (vertical)

Regards

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