Finding Unit Normal Vector of 2 Vectors

AI Thread Summary
To find the unit normal vector of two vectors, the cross product is used, resulting in the vector i + j + k. This vector is not a unit vector since its magnitude is greater than one. To convert it into a unit vector, the equation \hat{n} = n/|n| should be applied. The correct unit vector in the direction of i + j + k is (i + j + k)/√3. Understanding this process is essential for accurately determining unit normal vectors.
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Homework Statement


Im given two vectors and I am told to find theyre unit normal vector.

Homework Equations



a x b

The Attempt at a Solution


I used the cross product of the 2 vectors to find the normal vector, however, it came out to be i + j + k. My question is, is this already a unit vector or do i need to use the equation \hat{}n = n/\left|n\right|?
 
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i+j+k is not a unit vector unit vector has magnitude 1 unit vector in the direction of i+j+k is (i+j+k)/3^.5
 
Understood, thank youuuuuu.
 
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