At point (6, 3, 162), find the parametric equations for the normal line to the surface z = 5x^2 - 2y^2.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Q1.7
At point (6, 3, 162), find the parametric equations for the normal line to the surface
z = 5x^2 - 2y^2.
In your answer, use the given point and a unit direction vector that has a positive
x-coordinate. Your answer should be a symbolic function of t with no decimal
places. Write the values of x, y, and z separately (separated by commas) for the
purpose of clarity.
Transcribed Image Text:Q1.7 At point (6, 3, 162), find the parametric equations for the normal line to the surface z = 5x^2 - 2y^2. In your answer, use the given point and a unit direction vector that has a positive x-coordinate. Your answer should be a symbolic function of t with no decimal places. Write the values of x, y, and z separately (separated by commas) for the purpose of clarity.
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