How to find the unit vector
The coordinate of the unit vector can be set as (cosx, SiNx), because (cosx) '= - SiNx, (SiNx)' = cosx. The derivative coordinate is (- SiNx, cosx) the product of the two coordinates = - cosxsinx + sinxcosx = 0. So the unit vector is perpendicular to its derivative vector
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