Vectors and Work in Physics

What is the formula to calculate the work done when lifting an object using vectors?

In the example of lifting a 300-pound weight, what is the angle used for the vector calculation?

When pulling a sliding barn door, what angle is used to calculate the horizontal work?

How much work is done to move the barn door 12 feet with a force of 50 pounds at a 60-degree angle?

What trigonometric function is used to calculate the force required to hold a cart on an inclined plane?

What is the force required to keep a 200-pound cart from rolling down a 30-degree incline?

In the airplane example, what is the wind's bearing angle?

What is the resultant speed of the airplane when considering the wind's effect?

Which law is used to calculate the magnitude of the resultant vector in the airplane example?

What is the angle of deviation from the east direction for the airplane due to the wind?