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Previous Problem Problem List Next Problem (1 point) Find the derivative of the vector function r(t) = ta x (b + tc), where a = (2, -4,-2), b = (3,1,5), and c = (2,1, -2). r'(t) =( Note: You can earn partial credit on this problem Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email WebWork TA

Answer 1

Fiet) = tăx ('t të) where a = (-2,-4,-2), 5= (3,1,5) • & E= (2,1,-2) Now Plt) = tăx (5 + + 2%) : trărb?) + t căxc")* Μου, a x² = 1 1 2 -4 -2 = (-20+2) + (-6-10) +Ê ( 2 +12) = -18 î - 16 ŷ +14 ie āxõ = (-18, -16,14) cod By: 1 2 2 - 4 - 2 | 1 - 2 = {(8+2) + (-4+4) +â(2+8) - oîtion • 3 y = { 8, 9, 10) :: 7"(t)= + cã xb') + + Zāxc?) 7(4) = + <-18,-16,14) + +<8,0,10)

a r(t) = < 87–186,-16+, 10+14+) () = {167-18, -16, 204 +14) o't = (167-18, -16, 204+14) [Auswer