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Normal Vectors for Linear Function Graphs A normal vector to a linear function graph is any vector which is perpendicular to that function graph.
Demos
Normal Vectors for Linear Function Graphs 
 Normal Vectors for Linear Function Graphs 
Exercises
- Find normal vectors for the graphs of the following explicit functions:
- f(x, y) = 0
- f(x, y) = 2x
- f(x, y) = 3y
- f(x, y) = 2x + 3y
- f(x, y) = 6x + 11y
- Find normal vectors for the graphs of the following implicit functions:
- x + y + z = 1
- 3x + 4y + 5z = 12
- 5x + 3y + 4z = 12
- 4x + 3y + 5z = 1
- y = 23
- x = 7
- z = 9
- How does any general expression for the normal vector to a plane depend on k for f (x, y) = px + qy + k and d for ax + by + cz = d. Why is this?
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