= x² + y?, z = 4 - y, (2, –1, 5) (a) Find symmetric equations of the tangent line to the curve of intersection of the surfaces at the given point. (x – (y – = (z - %3D (b) Find the cosine of the angle between the gradient vectors at this point. (Give your answer correct to 3 decimal places.) cos(0) (c) Are the surfaces orthogonal at the point of intersection? Yes No

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A: The line segments with endpoints P(-1,3) to Q(3,-2)

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Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

A:

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A: Solution is following in explanation step.

Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

A: Given, the surfaces:               x+y2+2z=4,   x=1  Point: (1, 1, 1) Let         z = 1-2t

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A: The solution is given as follows