QCE Together Year 12 Specialist Maths: Parallel Vectors and Projection

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Parallel Vectors and Projection

This is part of the QCE Specialist Maths course under Unit 3: Mathematical induction, and further vectors, matrices and complex numbers, specifically parallel vectors and projection.

In this post, we look at Topic 2: Vectors and matrices and reviewing the concepts of vectors from Unit 1.

Let’s examine the properties of parallel and perpendicular vectors and determine if two vectors are parallel or perpendicular.

Here are some definitions to get you started

  • Parallel Vectors are vectors which have the same slope or angle.
  • Orthogonal vectors have a 90-degree angle between them.
  • Projection is the “shadow” of one vector onto another.

 

Parallel, Orthogonal or neither

 

Determine if vectors are parallel, orthogonal or neither

 

Vector Projections

Now let’s define and use the projection of one vector onto another.

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