Introduction to Vectors

AP Calculus AB and Vectors
MCV4UP (Grade 12 University Preparation)

Geometric Vectors

Concepts

  • definition of equal vectors
  • definition of opposite vectors

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Vector Addition

Concepts

  • triangle law of vector addition
  • parallelogram law of vector addition

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Vector Subtraction

Concepts

  • tail-to-tail method of vector subtraction
  • subtracting vectors by adding the opposite

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Multiplying a Vector by a Scalar

Concepts

  • scalar multiples of vectors
  • linear combinations of vectors

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Properties of Vectors

Concepts

  • commutative law of vector addition
  • associative law of vector addition
  • distributive law for vectors 

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Unit Review

Concepts

  • review of all concepts covered in the Introduction to Vectors unit

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