Dot product and angle between two vectors proof

Dot product and angle between two vectors proof

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Interactive Video

Mathematics

University

Hard

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The video tutorial explains the relationship between the dot product and the angle between two vectors. It begins by defining vectors V and Q and introduces the formula for cosine of the angle between them. The tutorial uses a triangle to apply the cosine rule and explains the dot product's relation to vector magnitude. Through algebraic rearrangement, the video proves the cosine formula, demonstrating its applicability in two dimensions and extending it to higher dimensions.

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OPEN ENDED QUESTION

3 mins • 1 pt

What new insight or understanding did you gain from this video?

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