Question: Let A, B, and C be vectors in V3 and let r be a space curve with!r t()= t +1()A +1 sin t()Bandr 0()= C

Let A, B, and C be vectors in V3 and let r be a space curve with!r t()= t +1()A +1" sin t()Bandr 0()= C .a. Find an equation of the tangent line to the curve atr 0()= C .b. Use a definite integral to findr t().c. If A and B are non-parallel, prove r t() lies in a plane.

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