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question 2 may have some error in placement of indices. If anyone finds the real mistake, mention that in attempting the questions and solve further

question 2 may have some error in placement of indices. If anyone finds the real mistake, mention that in attempting the questions and solve further according to the correction

Q.1 Given the vector v: R R, v = {x + x, x1x2}. Find it's covariant derivatives if x and x2 are the plane polar coordinates. Q.2 Evaluate/expand the following Tr(wigouVu), where the quantity in parenthesis is a scalar/inner product. Also prove that V(wgV) ax(wgV) or Vx(wVP) = ax (wVP). =

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