Visualizing quaternions (4d numbers) with stereographic projection - Part 1 of 2

Visualizing quaternions (4d numbers) with stereographic projection - Part 1 of 2

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

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The video explores quaternions, a 4D extension of complex numbers, and their applications in 3D rotations and quantum mechanics. It covers the history of their discovery by Hamilton, their resurgence in computing, and their mathematical properties. The video also explains complex numbers and stereographic projection to help visualize quaternions in 4D space, emphasizing their non-commutative nature and unique multiplication properties.

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

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

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