Given the curve C parametrized by the vector equation r (t)=3sin(t)i+[2−sin(t)+cos(t)]j−3cos(t)k, t∈[0;2π] On the given curve C A. The tangent, the acceleration, and the jerk are coplanar vectors all along the given curve C. B. The tangent vector, acceleration vector, and the jerk vector are nowhere simultaneously coplanar along curve C. C. The jerk vector indicates the direction and magnitude of the change in acceleration, therefore it is nowhere coplanar with the acceleration. D. The vector function, tangent vector, and the acceleration vector are coplanar. E. None of the listed alternatives.
Given the curve C parametrized by the vector equation r (t)=3sin(t)i+[2−sin(t)+cos(t)]j−3cos(t)k, t∈[0;2π] On the given curve C A. The tangent, the acceleration, and the jerk are coplanar vectors all along the given curve C. B. The tangent vector, acceleration vector, and the jerk vector are nowhere simultaneously coplanar along curve C. C. The jerk vector indicates the direction and magnitude of the change in acceleration, therefore it is nowhere coplanar with the acceleration. D. The vector function, tangent vector, and the acceleration vector are coplanar. E. None of the listed alternatives.
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WHICH ANSWER IS CORRECT?
Given the curve C parametrized by the vector equation
r (t)=3sin(t)i+[2−sin(t)+cos(t)]j−3cos(t)k, t∈[0;2π]
On the given curve C
A. The tangent, the acceleration, and the jerk are coplanar vectors all along the given curve C.
B. The tangent vector, acceleration vector, and the jerk vector are nowhere simultaneously coplanar along curve C.
C. The jerk vector indicates the direction and magnitude of the change in acceleration, therefore it is nowhere coplanar with the acceleration.
D. The vector function, tangent vector, and the acceleration vector are coplanar.
E. None of the listed alternatives.
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