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Direction Cosines & Ratios: Definition & Calculations

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

What is the magnitude of the vector with coordinates (34, 56, 21)?

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1. What are the three direction ratios for the vector with coordinates (2, 7, 1)?

2. A vector of magnitude 30 makes an angle of 53 degrees with the x-axis. What is the x-coordinate of this vector?

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About This Quiz & Worksheet

Use our worksheet/quiz combo to see if you comprehend the definition and calculations associated with direction cosines and ratios. These questions will quiz you on the definition of a unit vector and ask you to identify the magnitude and x-coordinate of a vector in several practice problems.

Quiz & Worksheet Goals

Our quiz will assess how well you can:

  • Find the magnitude of a vector in a practice problem
  • Calculate the three direction ratios for an example vector
  • Identify the x-coordinate of a vector in an example problem
  • Locate the unit vector in a practice problem
  • Define what a unit vector is

Skills Practiced

  • Problem solving - use acquired knowledge to solve three direction ratios practice problems
  • Interpreting information - verify that you can read information regarding what a unit vector is and interpret it correctly
  • Knowledge application - use your knowledge to answer questions about how to identify the magnitude of a vector
  • Information recall - access the knowledge you've gained regarding how to calculate the x-coordinate of a vector

Additional Learning

Be sure to check out our engaging lesson called Direction Cosines & Ratios: Definition & Calculations if you would like to read more about this topic. This lesson will teach you the following:

  • The definition of a vector
  • What direction ratios represent
  • Ways to represent a three--dimensional vector
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