Calculating the normal vector to the surface

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To calculate the normal vector to the surface formed by the points (0,0,2), (0,2,0), and (2,0,0), first determine two vectors in the plane by subtracting the coordinates of the points. The cross product of these two vectors will yield the normal vector, which is perpendicular to the surface. This method is fundamental in vector mathematics and is applicable to any triangle in three-dimensional space. Understanding this process is essential for various applications in physics and engineering. The discussion emphasizes the importance of the cross product in finding normal vectors.
Natalie89
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I know this is really basic, but I just can't seem to remember...


Say you have three points (0,0,2),(0,2,0) and (2,0,0) to form a triangle. How do you calculate the normal to the surface?
 
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Hi Natalie89! Welcome to PF! :wink:

Hint: it has to be perpendicular to any two vectors in the surface …

so find any two vectors, and use the cross product :smile:​
 

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