“Demystifying” Bivectors: A video for (and in support of) high-school teachers of Geometric Algebra

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  • Опубліковано 19 лис 2024
  • The thumbnail shows how GA uses a bivector to define a plane through a given point. (See also 1:32 and (for the plane's GA equation) 19:41 .) High-school teachers will be key players in the spread of Geometric Algebra. Providing these teachers with the background to answer students' questions is an important task for us. This video will help teachers answer objections/questions that intelligent students are likely to raise.
    Here is a link that may help to explain why bivectors may be preferred over cross products in some applications. See, especially, the answer that begins, "To answer your final question, why introduce the wedge". math.stackexch...
    A proof that a ^ b = [(ai) dot b]i = : drive.google.c... .
    Playlist "Geometric Algebra for High Schoolers": • Geometric Algebra for ... .
    LinkedIn group "Pre-University Geometric Algebra"
    / linkedin group "Pre-University Geometric Algebra"
    The group is a space for the sharing and collaborative development of resources for teaching GA at the high-school level. More-advanced materials are welcome, especially if prepared with the additional intent of helping high-school students develop the abilities needed to understand and do such work themselves within a few years.
    LinkedIn group "Geometric Algebra": / 4206522 .

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