Lesson 14 of 20 · about 15 min
Orthonormal bases and Gram–Schmidt
The friendliest basis is one where every arrow has length 1 and every pair meets at a right angle. Coordinates then come from simple dot products, and nothing ever gets distorted. You'll straighten a slanted pair of arrows into a perfect one, step by step, and use the same recipe to repair a game object's rotation after rounding errors have bent it out of shape.
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In this lesson you'll learn:
- Orthonormal basis
- Gram–Schmidt
Free to try in F08 Linear Algebra:
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