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6) please show steps and explanation. a)Suppose r(t) = < cos(3t), sin(3t),4t >. Find the equation...

6) please show steps and explanation.

a)Suppose r(t) = < cos(3t), sin(3t),4t >.

Find the equation of the tangent line to r(t) at the point (-1, 0, 4pi).

b) Find a vector orthogonal to the plane through the points P (1, 1, 1), Q(2, 0, 3), and R(1, 1, 2) and the area of the triangle PQR.

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