Practice problems

1. What is the x-component of the vector?

What is the y-component of the vector?

2.What is the x-component of the vector?

What is the y-component of the vector?

3. The x-component of the velocity vector of a puck sliding along the ice is 22 m/s and the y-component of the velocity vector of the puck is 16 m/s.

A. How fast is the puck moving?

B. What angle does the velocity vector make with respect to the positive x-axis?

4. An airplane is pushed by its engine and the wind. The engine pushes it northwest at 275 m/s while the wind pushes it southwest at 40.0 m/s.

A. How fast does the airplane move?

B. In which direction does the airplane move? Give the angle with respect to the North.

5. Consider two vectors, vector A and vector B. The x-component of vector A is 2.8 and the y-component of vector A is 3.4. The x-component of vector B is 1.5 and the y-component of vector B is 1.8.

A. What is the magnitude of the dot product between vector A and vector B?

B. What is the angle between vector A and vector B?