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19. [-/0.1 Points] DETAILS SCALCET9 13.1.AE.003. Example Video Example () Describe the curve defined by the vector function r (t ) = ( 2+ t, 3 + 2t, - 5+ 4t). Solution The corresponding parametric equations are X = y = 3+2t, z = which we recognize from the equations x = Xo + at, y = yo + bt, z = zo+ ct as parametric equations of a line passing through the point (2, 3, -5) and parallel to the vector (1, 2, 4). Alternatively, we could observe that the function can be written as r = ro + tv, where ro = (2, 3, -5) and v = and this is the vector equation of a line as given by the equation r = ro + tv. Need Help? Read It