# 10.8.4. Applications of Vectors

Given that , , and are acting on a particle, and the resultant of the set of these forces is , determine the values of and .

- A,
- B,
- C,
- D,

The forces , , and are acting on a particle, where , , and . Given that the system of forces is in equilibrium, determine the values of and .

- A,
- B,
- C,
- D,

A force of magnitude N is acting in the east direction on a cube, and each N can be represented by a directed line segment having a length cm. If an additional force of magnitude N was added to the previous force acting in the same direction, determine the magnitude of the force acting on the cube and the length of the directed line segment that represents this force.

- AN, cm
- BN, cm
- CN, cm
- DN, cm

Find the resultant force acting on a book, which rests on a horizontal plane, when you try to move it by force of magnitude N parallel to the horizontal plane. The magnitude of the friction force between the book and the plane is N, consider that is the unit vector in the direction of the book's motion.

- AN
- BN
- CN
- DN

If the forces N, N, and N act on a particle, determine the magnitude of their resultant and approximate its direction to the nearest minute.

- AN,
- BN,
- CN,
- DN,

A car is moving on a straight road with a velocity of km/h, while another car is moving on the same road with a velocity of km/h. Given that is the unit vector in the direction of movement of the first car, determine the relative velocity of the first car with respect to the second one knowing that both cars are moving in the same direction.

- Akm/h
- Bkm/h
- Ckm/h
- Dkm/h