MA 126 Midterm: MA126T3S16 Spring 2016
Document Summary
Calculate the cross product of r1 = (2, 1, 1) and r2 = (1, 2, 1). Let r(t) = (t 1, t3, t2). Find symmetric equation of the tangent line at point t = 1. Find parametric equation of the line which passes through the point (1, 0, 1) and is orthogonal to the plane 2x + y z + 2 = 0. Find the area of the parallelogram generated by the vectors (1, 1, 1) and ( 2, 1, 2). Find equation of the plane containing the points (0, 1, 1), (1, 1, 2) and ( 1, 0, 1). Find parametric equation of the line which passes through the point (1, 1, 1) and is orthog- onal to the vectors i + j and j k. A particle moves with acceleration a(t) = (0, et, t). Find velocity and position function if the initial data are v(0) = (1, 0, 1), r(0) = (0, 1, 1).
