MA 227 Midterm: 3-11f-test1
Document Summary
Calculate the cross product of r1 = (1, 1, 2) and r2 = (3, 2, 1). Find symmetric equation of the tangent line at point t = 1. Let r(t) = (sin(t), e t, t2 1). Find curvature at point t = 0. Find the area of the parallelogram generated by the vectors (1, 1, 1) and ( 1, 2, 2). Find equation of the plane containing the points (2, 2, 1), (1, 2, 1) and ( 1, 1, 1). A particle moves with position function r(t) = (t3, sin(t), t2 + 1). Find velocity, acceleration and tangential and normal components of acceleration at point t = 0. Find parametric equation of the line which passes through the point (2, 1, 1) and is orthog- onal to the vectors i + j and 2j k. A particle moves with acceleration a(t) = (0, e t, 2).
