1. Consider the position vector r = xi+yj+zk of a particle moving in some space curve defined by the following parametric equations: 2²₁₁z=t+2. 2t+1 +y=1 x = i,j,k are the standard unit vectors in rectangular coordinates, x,y, and z are the rectangular position coordinates, and t is the time parameter. Determine: (a) the velocity vector v, (b) the acceleration vector a, (c) the unit tangent vector T for the space curve, (d) the unit normal N for the space curve, (e) the unit bi- normal vector B (=TXN) for the space curve, (f) evaluate T,N, and B at t = 2. ANSWER ONLY A B C

1. Consider the position vector r = xi+yj+zk of a particle moving in some space curve defined by the following parametric equations: 2²₁₁z=t+2. 2t+1 +y=1 x = i,j,k are the standard unit vectors in rectangular coordinates, x,y, and z are the rectangular position coordinates, and t is the time parameter. Determine: (a) the velocity vector v, (b) the acceleration vector a, (c) the unit tangent vector T for the space curve, (d) the unit normal N for the space curve, (e) the unit bi- normal vector B (=TXN) for the space curve, (f) evaluate T,N, and B at t = 2. ANSWER ONLY A B C

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 36E

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