2 Edited title and body to explain that a geometric algebra is a clifford algebra

# Three dimensional subalgebras of GeometricClifford Algebras

Are there any three dimensional subalgebras of GA(n) where GA(n) is the geometric algebra corresponding to $R^n$? If yes, what about for GA(2)?

Edit: a geometric algebra is a Clifford algebra.

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# Three dimensional subalgebras of Geometric Algebras

Are there any three dimensional subalgebras of GA(n) where GA(n) is the geometric algebra corresponding to $R^n$? If yes, what about for GA(2)?