Vector Components: The Magnitude of a Vector


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A cannonball is shot at an angle of 55 degrees above the horizontal, with a force of 80 Newtons. What is the magnitude of the force vector that applies to the cannonball?

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1. Which of the following is an example of the overall magnitude of a vector?

2. What does magnitude mean in terms of vectors?

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About This Quiz & Worksheet

Check your ability to apply the principles of vector operations to vector magnitude problems with this quiz and worksheet. Quiz questions cover calculating the magnitude of vectors using two quantities, and understanding how vector magnitude is mathematically notated.

Quiz & Worksheet Goals

This quiz will test your knowledge of:

  • Vector notation
  • The meaning of the word 'magnitude' as referring to vectors
  • Applying vector magnitude operations to real-world problems

Skills Practiced

  • Critical thinking - apply relevant knowledge to vector problems given various quantities and units
  • Problem solving - use acquired knowledge to solve vector magnitude practice problems
  • Defining key concepts - ensure that you can accurately define main terms, such as magnitude
  • Knowledge application - use your knowledge to answer general questions about finding the magnitude of a vector

Additional Learning

Expand your knowledge about vector magnitude by reviewing the corresponding lesson called Vector Components: The Magnitude of a Vector. This lesson covers the following objectives:

  • Review the definition of a vector
  • Use examples to understand what the magnitude of a vector is
  • Learn how to apply geometric and trigonometric rules to find the magnitude of a vector