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Question 3. Consider a vector function t]. 3.1. Show that if r(t) .l. E for all t, then r'(t) J. 6 for all t. [2

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Question 3. Consider a vector function t]. 3.1. Show that if r(t) .l. "E" for all t, then r'(t) J. 6 for all t. [2 points] 3.2. Let if = {than} be a vector. Show that if :r"(t} J. 1'! for all t? then rr'(t} lies in some plane perpendicular to 17. Hint: Consider the derivative of r - {1' in order to show that there is some constant a! such that if {3,3152} = t) for some t, then as: + by + .22 = d. [3 nointsl

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