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In this video we walk through the key ideas behind vector projections and how to project one vector onto another. We cover the projection formula, the geometric intuition behind projections, and how to calculate both scalar and vector projections step by step.
You’ll see how these concepts connect: how projections measure the component of one vector in the direction of another and why they are essential for understanding orthogonality, least squares problems, and vector decomposition. We also explore how projections are used in geometry, physics, optimisation, and many areas of applied mathematics.
A quick, clear walkthrough of the core techniques behind vector projections and their role throughout linear algebra and applied mathematics.
