Cross Product & Right Hand Rule: Definition, Formula & Examples


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question 1 of 3

If vector a has a magnitude of 5, vector b has a magnitude of 3 and the angle between a and b is 25 degrees, what is the magnitude of the cross product, a x b?

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In which of the following situations are cross products used?

I. To calculate the torque on a wrench

II. To calculate the magnetic force on a moving electric charge

III. To calculate the angular momentum of a rotating object

2. If vector a points in the positive 'x' direction and vector b points in the positive 'y' direction, in what direction is the cross product a x b?

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About This Quiz and Worksheet

Use the quiz and worksheet combo to help master the idea behind the cross product and using the right hand rule. This practice quiz will assess your ability to use the right hand rule to find the direction of the cross product for any vector.

Quiz and Worksheet Goals

The assessment will test your ability to:

  • Recall your understanding of vectors
  • Use magnitude to determine the cross product
  • Find the direction of a cross product using the right hand rule
  • Understand the effect of torque on magnitude

Skills Practiced

  • Problem solving - use acquired knowledge to solve vector practice problems
  • Defining key concepts - ensure that you can accurately define vector, magnitude, cross product and torque
  • Knowledge application - use your knowledge of the right hand rule to answer problems about the cross product

Additional Learning

To learn more about cross product and the right hand rule, review the accompanying lesson Cross Product & Right Hand Rule: Definition, Formula & Examples. The lesson covers the following topics:

  • Vector magnitude and multiplication of vectors
  • Cross product and direction
  • Application of the right hand rule
  • The concept of torque as it applies to magnitude
  • Understanding positive vectors and positive torque