Question: 14. In 4-dimensional space-time (x, y, z, t space), a 4-dimensional vector can be represented by either a constant 1-form or a constant 3-form. Find

 14. In 4-dimensional space-time (x, y, z, t space), a 4-dimensional

14. In 4-dimensional space-time (x, y, z, t space), a 4-dimensional vector can be represented by either a constant 1-form or a constant 3-form. Find the appropriate representations so that the product of a 1-form and a 3-form corresponds to the dot product: (a,b,c,d) (e, f, g, h) = ae + bf + cg+dh

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