Part II: Vector Valued Functions 11.1 A particle travels on a helix a. Find the velocity vector and the speed of the particle at time t vit) a. Compute the exact value distance traveled farc leng...
Part II: Vector Valued Functions 11.1 A particle travels on a helix a. Find the velocity vector and the speed of the particle at time t vit) a. Compute the exact value distance traveled farc lenghi by the particle during the three seconds: b. Find a unit tangent vector and its value at t Tn) Tig) - c. Prove that the unit tangent vector is perpendicular to its derivative: TOLTO) PROOF: b. Use the result of c) to find the principal unit normal vector at t C. Find the unit bi-normal vector at t Bin) = d. Find the acceleration vector at t-m n e. Find the tangent- and (bi-Jnormal components a, ay and a, of acceleration att
Part II: Vector Valued Functions 11.1 A particle travels on a helix a. Find the velocity vector and the speed of the particle at time t vit) a. Compute the exact value distance traveled farc lenghi by the particle during the three seconds: b. Find a unit tangent vector and its value at t Tn) Tig) - c. Prove that the unit tangent vector is perpendicular to its derivative: TOLTO) PROOF: b. Use the result of c) to find the principal unit normal vector at t C. Find the unit bi-normal vector at t Bin) = d. Find the acceleration vector at t-m n e. Find the tangent- and (bi-Jnormal components a, ay and a, of acceleration att