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A vector-valued function of a curve is given by r(t)=−3sinti+3costj+7tk for 0≤t≤2π. (i) Determine the exact value of
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A vector-valued function of a curve is given by r(t)=−3sinti+3costj+7tk for 0≤t≤2π. (i) Determine the exact value of
A vector-valued function of a curve is given by r(t)=−3sinti+3costj+7tk for 0≤t≤2π. (i) Determine the exact value of radius for r(t). [7 marks] (ii) Find dtd[r(t)⋅r′(t)]. [2 marks] (iii) Using the formula B(t)=T(t)×N(t), find the binomial vector B(t) to the curve r(t). Give your answer in surd form. [7marks]
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