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Magnitude of a Vector with the Euclidean Inner Product

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Magnitude of a Vector with the Euclidean Inner Product

Algebra-2

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You will determine the magnitude of vectors, scalar multiples of vectors and the sums and differences of vectors by using the inner product.

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Now You Know

After completing this tutorial, you will be able to complete the following:

  • Find the magnitude of a vector by using the Euclidean inner product.
  • Find the magnitude of scalar multiples of vectors by using the Euclidean inner product.
  • Find the magnitude of vector sums by using the Euclidean inner product.
  • Find the magnitude of vector differences by using the Euclidean inner product.

Everything You'll Have Covered

Tutorial Details

Approximate Time 20 Minutes
Pre-requisite Concepts Students should be able to define the Euclidean inner product and calculate the Euclidean inner product of two vectors.
Course Algebra-2
Type of Tutorial Skills Application
Key Vocabulary inner product, magnitude, scalar multiplication