The Biggest Mistake Students Make With Dot Product

Let's be brutally honest: Dot Product is usually taught terribly in textbooks. You don't need to be a genius to master this; you just need to understand one specific mental model.

Did you make this error?

• The Trap: forgetting its geometric meaning
• The Proof: Read this scenario: The dot product of two vectors tells you how much they align. If the dot product is exactly 0, the vectors are perfectly perpendicular (orthogonal) to each other.

If your logic doesn't match the proof above, you've fallen for the trap. Erase it and start over.

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