Study guide and
1 practice problem
on:
Using a normal vector to find a tangent vector to a surface
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One way to find a tangent vector to a surface is to find a vector perpendicular to a normal vector of that surface.
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Practice problem
Consider the surface $x^3 + y^3 z = 3$. Find tangent vector at the point $(1,1,2)$ that has $\mathbf{i}$ component 1 and $\mathbf{j}$ component 1. To find it, first find a normal vector.
Solution