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...ct of Grassmann Algebra, and it forms part of the [[geometric product]] in geometric algebra. There are two products with symmetric properties called the exteri ...the exterior products between all pairs of basis elements in the 4D rigid geometric algebra $$\mathcal G_{3,0,1}$$. ...

...+ R_{mw}^2 = 1$$ and that $$\mathbf R$$ properly satisfies the [[geometric property]] so that $$R_{vx}R_{mx} + R_{vy}R_{my} + R_{vz}R_{mz} = 0$$. ...

...manipulations of points, lines, and planes. FGED1 goes on to talk about ''geometric'' algebra as well, which augments Grassmann algebra, but the discussion is ...onal space where objects $$\mathbf a$$ and $$\mathbf b$$ meet, and how the geometric product extends the wedge product for vectors $$\mathbf a$$ and $$\mathbf b ...