For an ordinary vector V, the square of its length is [tex]V \cdot V = V^a V_a[/tex].(adsbygoogle = window.adsbygoogle || []).push({});

For basis vectors, [tex]e^a \cdot e_b = \delta ^a _b[/tex] so [tex]e^a \cdot e_a = 1[/tex].

Since [tex]1^2 = 1[/tex], this implies that every basis vector is of unit length.

What is my mistake?

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# Basis vectors, again

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