Question 9.6.5: Find parametric equations for the normal line to the surface......
Find parametric equations for the normal line to the surface in Example 4 at (1,-1,5).
Step-by-Step
A direction vector for the normal line at (1,-1,5) is \nabla F(1,-1,5)=\mathrm{i}-\mathrm{j}-\mathrm{k}. It follows that parametric equations for the normal line are
x=1+t, \quad y=-1-t, \quad z=5-t.
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