Q.1 Given the vector v : R R, v = {x + x, x1x2}. Find...
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Q.1 Given the vector v : R² → R², v = {x² + x², x1x2}. Find it's covariant derivatives if x₁ and x2 are the plane polar coordinates. Q.2 Evaluate/expand the following Vx(wvgHVμ), where the quantity in parenthesis is a scalar/inner product. Also prove that V(wgV₁) ax(wgV) or V₁(w₂VP) = ax (w₂VP). = Q.1 Given the vector v : R² → R², v = {x² + x², x1x2}. Find it's covariant derivatives if x₁ and x2 are the plane polar coordinates. Q.2 Evaluate/expand the following Vx(wvgHVμ), where the quantity in parenthesis is a scalar/inner product. Also prove that V(wgV₁) ax(wgV) or V₁(w₂VP) = ax (w₂VP). =
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