Please answer all questions and show work:

201 Which of the following points lie on the O (2, 4, 6) space curve represented by the given O (1, 2, 3) vector function? O (3, 6, 9) r (t ) = ti+t' j+tik O (4, 8, 12) O None of the above 21) Find the limit, lim r'(t), for the given O (0, 2, 0) O (0, - 2, 1) vector function. O (0, 2, 1) r'(t) =(tInt) i + O The limit does not exist. O None of the above 22 Find the velocity of a particle whose O v(t) = -sint i -e-*j +2k position is given by the vector function, O v(t) =- sintite*j +2k r(t) = cost ite * j + 2t k. O v(t) = - cost i text j O v(t) = - cost i-e-* j O None of the above 23 Which of the following is true of the They are orthogonal. vectors a = (-6, 14, 10) and O They are different vectors pointing in the same direction. 6 = (-8, - 2, - 2) . O They are pointing in opposite directions. O They are the same vector. O None of the above