The Gram-Schmidt Process for Orthonormalizing Vectors

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question 1 of 3

For a vector v = (2, 4), its length is _____.

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1. The inner product of vector v1 with vector v2 is zero. These vectors are _____.

2. The Gram-Schmidt process orthogonalizes vectors by subtracting _____.

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About This Quiz & Worksheet

Use this quiz and worksheet to check your understanding of the Gram-Schmidt process and how to apply it to vectors.

Quiz & Worksheet Goals

Questions focus on the following:

  • The length of a vector v = (2, 4)
  • How the Gram-Schmidt process orthogonalizes vectors
  • Which vectors have an inner product of 0

Skills Practiced

  • Reading comprehension - ensure that you draw the most important information from the lesson on the Gram-Schmidt process
  • Problem Solving - use acquired knowledge to solve vector practice problems
  • Information recall - access the knowledge you've gained regarding how the Gram-Schmidt process works

Additional Learning

Learn more about vectors by completing the lesson titled The Gram-Schmidt Process for Orthonormalizing Vectors. The following objectives will be covered:

  • Review how to combine vectors
  • Know what a linear combination is
  • Understand how to use an orthonormal basis
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