3. Consider the vector-valued function r(t)=⟨3t,lnt,t2⟩. (a) (8 points) Find a set of parametric equations for the line
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3. Consider the vector-valued function r(t)=⟨3t,lnt,t2⟩. (a) (8 points) Find a set of parametric equations for the line
3. Consider the vector-valued function r(t)=⟨3t,lnt,t2⟩. (a) (8 points) Find a set of parametric equations for the line tangent to r at the point A(3,0,1). We'll call this line L. (b) (7 points) Compute the angle between the line L and the plane P:x+z=3. You may leave your answer in terms of an inverse trig function.
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