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John Baez Mastodon

A vector looks like an arrow; anyone studying math or physics in college learns about these. Bivectors are important too - though less widely taught. You can create a bivector by taking the 'wedge product' u ∧ v of two vectors u and v, and you can visualize this as the parallelogram shown at left here. But in fact, an ellipse or any other flat surface with the same area lying in the same plane is just as good a picture of this bivector. Further, you can add bivectors, so there are bivectors like u ∧ v + w ∧ z that you can't picture as just a single surface. Thus, you need to be good at the al…

vectorsvisualizearrow

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