Vectors in Two & Three Dimensions


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question 1 of 3

A = <3,1,10>

B = <5,7, -6>

What is A + B?

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1. What is the magnitude of the two-dimensional vector with components <5,10>?

2. What is the magnitude of the three-dimensional vector <4,6,-8>?

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About This Quiz & Worksheet

Use our short worksheet/quiz combo to test yourself when it comes to vectors in two and three dimensions. You'll be quizzed on how to add and subtract vectors, calculating the magnitude of vectors and ways to write a 3D vector.

Quiz & Worksheet Goals

Review these questions to test yourself on:

  • How to add vectors
  • What the magnitude of two-dimensional and three-dimensional vectors are when given the components
  • How to subtract vectors
  • The ways to represent a three-dimensional vector

Skills Practiced

  • Distinguishing differences - compare and contrast topics from the lesson, such as two-dimensional and three-dimensional vectors
  • Reading comprehension - ensure that you draw the most important information from the related vector lesson
  • Information recall - access the knowledge you've gained regarding adding and subtracting vectors
  • Problem solving - use acquired knowledge to solve 2D and 3D vector practice problems

Additional Learning

Be sure to check out our engaging lesson Vectors in Two & Three Dimensions to learn more about this subject. Our fun lesson covers the topics on this quiz and will also help you understand how to:

  • Give an example of a vector
  • Identify the theorem used to locate the magnitude of a 2D vector
  • Explain the unit vectors often used for two-dimensional and three-dimensional vectors
  • Define the formula needed to identify the magnitude of a 3D vector