13 12 The unit tangent vector T and the principal unit normal vector N for the parameterized curve r(t) = 3 2 (, t> 0, are shown below. Use the definitions to compute the unit binormal vector B and torsion t for r(t). T = N = 1 12 + 1 1 12 + 1 The unit binormal vector is B = (0, 0 , - 1). (Type exact answers, using radicals as needed.) The torsion is = (Type an integer or a simplified fraction.)Use the alternative curvature formula k = axv to find the curvature of the following parameterized curve. r(1) = (7 + 412,t,0) K=Find the unit tangent vector T and the principal unit normal vector N for the following parameterized curve. Verify that | T| = | N| = 1 and T . N = 0. r(t) = (7 sint,7 cost,241) 7 cost 7 sint 24 T= 25 25 25 N=Consider the following trajectoryr of a moving object. Find the tangential and normal components of the acceleration. nil}: {101,1o12} out an m 3N = D Hype an exact answer, using radicals as needed.) {'I'ype an exact answer, using radicals as needed}