Dot (Scalar) Product of Two Vectors

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Vectors and Scalars Learning Material
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2.4Dot (Scalar) Product of Two Vectors

Dot (Scalar) Product of Two Vectors Revision Questions

1. Two forces F1 = 50N and F2 = 100N are pulling the same object as shown in the figure.

Physics Tutorials: This image display a grid with the vector f1 and f2 identified in support of the dot scalar revision questions

What is the size of the angle θ between the two forces?

Remark! Pay attention to the sign of components.

  1. 900
  2. 170
  3. 880
  4. 609

Correct Answer: A

2. A 300N force acts on an object at a certain angle to the horizontal direction and as a result, the object moves horizontally at 2m/s. The output power delivered is 480W. What is the angle of the force to the horizontal direction?

Physics Tutorials: This image shows a rounded box placed on a surface to help supprt the dot scalar revision question to calculate force.
  1. 300
  2. 370
  3. 530
  4. 600

Correct Answer: B

3. Two forces are acting on the same object at 530 to each other (cos 530 = 0.6, sin 530 = 0.8). Their dot product is 120 units and the magnitude of the first force is 20N. What is the magnitude of the second force in newtons?

  1. 6N
  2. 8N
  3. 10N
  4. 12N

Correct Answer: C

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