For a general double vector, the norm of the double vector can be calculated as a vector Space ⋀ 2Rn. If the magnitude is zero, then all components of a double vector are zero, and a double vector is a double vector of zeros that is equal to the scalar zero as one element of geometric algebra.

Is a double vector a tensor?

one Second-Order Antisymmetric Tensor (aka 2-form).

Is torque a pseudo vector?

physical example pseudo vector Including torque, angular velocity, angular momentum, magnetic field and magnetic dipole moment.

Is a cross product an outer product?

External products

As mentioned above, the cross product can be interpreted in three dimensions as Hodge dual for exterior products…so in arbitrary finite dimensions, the cross product is not a binary operation, but generalizes to the Hodge dual of the outer product of some given n – 1 vectors.

3D Geometric Algebra – Vector-Dual Vector Product (Part 1)

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