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1. Let y : 1R R3 be a parametric curve with components f,g,h so y(t) = (f(t),g(t),h(t)). Assume its component functions are infinitely differentiable. Determine

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1. Let y : 1R R3 be a parametric curve with components f,g,h so y(t) = (f(t),g(t),h(t)). Assume its component functions are infinitely differentiable. Determine which of the following statements are true or false. If false, give a counterexample. If true, explain why. (1c) For all t ER, the unit binormal vector B(t) is uniquely defined provided T(t) and N(t) are both defined. O TRUE O FALSE

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