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Grade: 12
        
let a,b,c be three non-coplanar vectors and d be a non-zero vector which is perpendicular to (a+b+c) and is represented as 
d=x(a × b)+y(b × c)+z(c × a)
(× is cross product)
Then prove that
1)x3+y3+z3=3xyz
2)xy+yz+xz≤0
9 months ago

Answers : (1)

Deepak Kumar Shringi
askIITians Faculty
3889 Points
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7 months ago
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