Let C1 be square with vertices A, B,C, D with counterclockwise orien- tation. Let C2 be square with vertices B, E, F,C, with counterclockwise orientation. Let C be the rectangle with vertices A, E, F, D also with counterclockwise orienta- tion. Let F(r, y) be a vector field in R². Given that F dr = 1 and F- dr = 3, compute F. dr.

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Q: Any given vector space may have distinct inner products.  True  False.

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