{{2,-1,1},{0,-2,1},{1,-2,0}}.{x,y,z} - Wolfram|Alpha

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Result:

link to /input/?i=%282+x-y%2Bz%2C+-2+y%2Bz%2C+x-2+y%29&lk=1&a=ClashPrefs_*Math-
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Total:

link to /input/?i=3+x-5+y%2B2+z&lk=1&a=ClashPrefs_*Math-
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Mean value:

link to /input/?i=1%2F3+%283+x-5+y%2B2+z%29&lk=1&a=ClashPrefs_*Math-
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Vector length:

link to /input/?i=sqrt%28abs%28x-2+y%29%5E2%2Babs%28-2+y%2Bz%29%5E2%2Babs%282+x-y%2Bz%29%5E2%29&lk=1&a=ClashPrefs_*Math-
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Root:

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