Need some true and false help. 1.Acceleration in space has tangential, normal and binormal components. 2.Consider a space curve defined by a smooth vector function r(t). If r′′(t)=0 for all t, then the curve is a straight line. 3.Consider a space curve defined by a smooth vector function r(t). If the curve is a straight line, then r′′(t)=0 for all t 4.If a smooth space curve has constant curvature, then it is a circle.
I assume 1 is FALSE because acceleration in space usually defined with both tangential and normal components. 2. & 3. are my real problems 4. Would be False due to the fact that constant curvature could be a circle or line.
Never mind solved it , simply 3 was also false (y)
I don't know much about tangential, normal and binormal vectors but won't they form a orthonormal basis in R3 so acceleration can be resolved in such 3 components?
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