Find the vectors I and N and the binormal vector B = 1 x N, for the vector-valued function r(t) at the given value of c. r(t) = 8 cos(2t)i + 8 sin(2t)j + tk, to 12 1 ,0, > V 145 V 145 X V( 2 ) = sin (2t) cos( 2t) 2 2 X X Need Help? Read It Watch It Submit Answer /1 Points] DETAILS LARCALC12 12.4.056. Use the vector-valued function r(t) to find the principal unit normal vector N(t) using the alternative formula (v . v)a - (v . a)v N = - | (v . v)a - (v . a)vl| r(t) = 3 cos ti + 3 sin tj + 5tk N(t) = Need Help? Read It /4 Points] DETAILS LARCALC12 12.4.061. Because of a storm, ground controllers instruct the pilot of a plane flying at an altitude of 4 miles to make a 900 turn and climb to an altitude r(t) = (10 cos 10nt, 10 sin 10nt, 4 + 4t), osts - 20 where t is the time in hours and r is the distance in miles. (a) Determine the speed of the plane. (Round your answer to the nearest whole number.) mi/h (b) Calculate at and aN. aT 3 N Why is one of these equal to 0? O at = 0 because the acceleration is constant. O ay = 0 because t 2 0. O at = 0 because the speed is constant. O ay = 0 because the speed is constant. O an = 0 because the acceleration is constant