MATH 222 Final: MATH 222 KSU Final Exam u06

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)0,1,1( are the vertices of a triangle in 3-space. You must show your work to receive credit. (20)1. The points p: find the angle (in degrees) at the vertex p of the triangle, find the area of the triangle, find the equation of the plane which contains the triangle. An object is moving in a 3-space according to the parametric equations x = 2cos t, y = 2sin t, z = , where t is the time. Find the followings: a) position vector r = b) velocity vector v = c) acceleration vector a = d) speed = e) f) curvature k = g) An object is moving in the xy-plane along the curve t = 0, from left to right. Na as a function of t at t. , starting at: suppose that at t =1 the object is at (x, y) = (1, 1/2). find the velocity vector and the acceleration vector at this point.