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Vectors and Lines in Space · Term 3

Cross Product and Area

Students calculate the cross product of two vectors and use it to find a vector orthogonal to both and the area of a parallelogram.

Key Questions

  1. Explain the geometric interpretation of the vector cross product.
  2. Construct a vector that is orthogonal to two given vectors using the cross product.
  3. Analyze how the magnitude of the cross product relates to the area of a parallelogram formed by two vectors.

Ontario Curriculum Expectations

HSN.VM.B.4HSN.VM.B.5
Grade: Grade 12
Subject: Mathematics
Unit: Vectors and Lines in Space
Period: Term 3

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