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Find the angle 0 between the tangent vectors to the curves traced out by ri (t1) = sin (5t, )i + sin (4t, )j +
Find the angle 0 between the tangent vectors to the curves traced out by ri (t1) = sin (5t, )i + sin (4t, )j + tik and 12(12) = thi + 2t2j + fik at the point of intersection (0, 0, 0). (Give your answer as an exact number. Use symbolic notation and fractions where needed.) 0 = 37.91 IncorrectLet u(t) = thi - taj + 3tk and v(t) = 3ti - taj + tok. Find ~ [u(t) . v(t)] and ~ [u(t) x v(t)]. (Express numbers in exact form. Use symbolic notation and fractions where needed.) [u(t) . v(1)] = 421 + 8+7 (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) d dt [u(t) x v(t)] = 1019 + 4/3i- (12711 -67)j+ (15/4 - 2176) k IncorrectFor r(t) = Self-+i - 4In (er+6t )j, find r' (t) and r" (t). (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) r' (t) = 10 * * ( 71 - + + self - +hi - 4 * ( p + 61 ) ; Incorrect r" (t) = Incorrect
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