Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = (cos )j + (sin t) k. Osts Find the curve's unit tangent vector. T() = -k COLED Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = 6ti+21j+3tk 1sts3 The curve's unit tangent vector is i++ k (Type an integer or a simplified fraction.) Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. 22 r(t) = (t cos t)i + (tsin t)j + 3/2k Ostsa ++k. The curve's unit tangent vector is (Type exact answers, using radicals as needed.) To alustrate that the length of a smooth space curve does not depend on the parameterization used to compute it, calculate the length of one turn of the helix with the following parameterizations. a. rit) (cos 4t) (sin 41j4tk, Osts i+sin x jk. Osts4x b. r(t)= cos c. f(t)-(cost-(ein 18-tk.-2x5150 Note that the helix shown to the right is just one example of such a helx, and does not exactly correspond to the parametrizations in parts a, b, or c 42 BLAUE