Question 5. In this problem we prove that a straight line is the shortest curve between two points in R". Let p, q € R" and let y be a curve such that y(a) = p, (b) = q, where a < b. (a) Show that, if u is a unit vector, then u≤||||. (b) Show that 1 ≤ f lill det. (q − p).u≤

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