This is part of the QCE Specialist Maths course under Unit 3: Mathematical induction, and further vectors, matrices and complex numbers, specifically 3d vector projection.
In this post we look at Topic 2: Vectors and matrices and how to prove geometric results (review from the topic Geometric proofs using vectors) in the plane and construct simple proofs in three dimensions.
Our favourite tip for understanding projection is to think of the projection of a vector-like a shadow.
Let’s start with an introduction vector projections.
Now let’s consider orthogonal projections!
Finally, let’s a visual projection onto a plane.