Yes, a change in velocity will happen in the direction the force is applied. This is a fundamental principle of physics known as Newton's Second Law of Motion.

Here's why:

* Force causes acceleration: A force applied to an object will cause it to accelerate. Acceleration is the rate of change of velocity.

* Acceleration is a vector: Acceleration has both magnitude (how fast the velocity changes) and direction. The direction of acceleration is always the same as the direction of the applied force.

* Change in velocity: Since acceleration is a change in velocity, and acceleration is in the direction of the force, the velocity of the object will change in the direction of the applied force.

Example:

* Imagine pushing a box across a floor. You are applying a force horizontally to the box. This force causes the box to accelerate horizontally, meaning its velocity changes in the same horizontal direction as the force you applied.

Important Notes:

* Net force: The change in velocity is determined by the net force, which is the vector sum of all forces acting on the object. If multiple forces are acting, the velocity will change in the direction of the net force.

* Inertia: Objects at rest tend to stay at rest, and objects in motion tend to stay in motion at a constant velocity unless acted upon by a net force. This is known as inertia.

* Friction: Real-world scenarios often involve friction, which opposes motion and can affect the direction and magnitude of the velocity change.

Let me know if you'd like more examples or further explanation!