7. In this problem, we prove that a straight line is the shortest curve between two points in Rd. Let p, q E Rd and let r be a curve such that r(to) = p and r(tı) = q, where to < t1. (a) Show that, if u is any unit vector in Rd, the r'(t) · u < ||r'(t)|| for all t. (b) Show that t1 (q - p) · u< / ||r(t)||dt. 1

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