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?