MATH 124A Midterm: MATH 126 UCSB Midterm 2 with answers
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Please read this first: print your name on each :sheet, show all your work and put your final answer in the box. Read all the questions before starting to work: unless otherwise instructed, always give your answers in. Nrune: _______________________________: (10 pts) determine if the following are true or false. (11) let "u, v, w be three vectors. en "u. V + w = "u v + u w. Th (12) the cross product of any two nonzero vectors is nonzero. (13) the lines r(t) = (3, -6t,t) and r(t) = (3t,5t, 1- 2t) are parallel. + -+ -+ b (is) let u, v, w e vectors so t at u" x v = "u x w. + th ~ i-. t i (19) 1ti. ("it x iii) 1=1 (ti x "it). iii) 1for any vectors ti, "it, iii. W en v = w. h (110) two distinct planes with the same normal vector are parallel.
