An airplane moves in a trajectory given by r(t) = 4ti+tj+tk. Given this trajectory, the airplane...

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An airplane moves in a trajectory given by r(t) = 4ti+tj+t²k. Given this trajectory, the airplane will intersect the surface z-a-y² twice. (a) Find the time, t, when the airplane intersects the surface the 2nd time. (b) Find the two unit tangent vectors to the airplane's trajectory at the time in (a). (c) Determine the line tangent to the airplane's trajector at the 2nd time it hits the surface. An airplane moves in a trajectory given by r(t) = 4ti+tj+t²k. Given this trajectory, the airplane will intersect the surface z-a-y² twice. (a) Find the time, t, when the airplane intersects the surface the 2nd time. (b) Find the two unit tangent vectors to the airplane's trajectory at the time in (a). (c) Determine the line tangent to the airplane's trajector at the 2nd time it hits the surface.

Answer rating: 100% (QA)

Step 13 We have rt 4ti tj tk The surface is z x y 0 Along the trajectory xt 4t yt t and z tii... View the full answer