find the unit normal vector to the surface x²+y²-2x+3=0 at the point (1, 2,-1) using app binary
Question
Find the unit normal vector to the surface
at the point using app binary.
Solution
The surface given is a cylinder and its equation can be rewritten as (x-1)² + y² = 0. This is a cylinder with axis parallel to the z-axis and passing through the point (1,0,0).
The normal vector to a surface F(x,y,z) = 0 at a point P is given by the gradient of F at P.
The gradient of F is a vec
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