# Lesson Worksheet: The Scalar Product of Two Vectors Physics

In this worksheet, we will practice calculating the scalar product of two vectors using both the components of the vectors and the magnitudes of the two vectors and the angle between them.

Q1:

The diagram shows two vectors, and . Each of the grid squares in the diagram has a side length of 1. Calculate . Q2:

The diagram shows two vectors, and . Each of the grid squares in the diagram has a side length of 1. Calculate . Q3:

The diagram shows two vectors, and . Each of the grid squares in the diagram has a side length of 1. Calculate . Q4:

The diagram shows two vectors, and . Each of the grid squares in the diagram has a side length of 1. Calculate . Q5:

An object moves along a straight line. As the object moves, it is acted upon by a constant force. The diagram shows the displacement of the object, , and the force acting on it, . Each of the grid squares in the diagram has a side length of 1 in both meters and newtons. Calculate . Q6:

An object moves along a straight line. As the object moves, it is acted upon by a constant force. The diagram shows the displacement of the object, , and the force acting on it, . Each of the grid squares in the diagram has a side length of 1. How much work is done by the force? Q7:

The diagram shows two vectors, and . What is the scalar product of and ? Q8:

The diagram shows two vectors, and . Each of the grid squares in the diagram has a side length of 1. Calculate . Q9:

Consider the two vectors , with a magnitude of 7.7, and , with a magnitude of 15. The scalar product of the two vectors is 27. What is the angle between the vectors? Give your answer to one decimal place.

Q10:

The diagram shows two vectors, and . What is their scalar product? This lesson includes 15 additional questions and 20 additional question variations for subscribers.