3. Divide equation (10.4) by dt to show that the velocity v = ds/dt is a contravariant vector. Note that the contravaria

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3 Divide Equation 10 4 By Dt To Show That The Velocity V Ds Dt Is A Contravariant Vector Note That The Contravaria 1 (175.17 KiB) Viewed 29 times

3. Divide equation (10.4) by dt to show that the velocity v = ds/dt is a contravariant vector. Note that the contravariant components of the velocity in polar coordinates are r and 8 (not r and rẻ which are physical components). As we did in (10.11), write the velocity v in polar coordinates in terms of the unit e vectors and in terms of the covariant a vectors. Repeat the problem in spherical coordinates.