Maths-
General
Easy

Question

Let stack a with rightwards arrow on top comma short rightwards arrow over leftwards arrow short rightwards arrow over leftwards arrow stack b with rightwards arrow on top short rightwards arrow over leftwards arrow short rightwards arrow over leftwards arrow a n d short rightwards arrow over leftwards arrow short rightwards arrow over leftwards arrow short rightwards arrow over leftwards arrow stack c with rightwards arrow on top be three non-coplanar vectors and stack d with rightwards arrow on top be a non-zero vector which is perpendicular to open parentheses stack a with rightwards arrow on top plus stack b with rightwards arrow on top plus stack c with rightwards arrow on top close parentheses and is represented as stack d with rightwards arrow on top equals x open parentheses stack a with rightwards arrow on top cross times stack b with rightwards arrow on top close parentheses plus y open parentheses stack b with rightwards arrow on top cross times stack c with rightwards arrow on top close parentheses plus z open parentheses stack c with rightwards arrow on top cross times stack a with rightwards arrow on top close parentheses. Then

  1. x3 + y3 + z3 > 3 xyz    
  2. x y + yz + xz £ 0    
  3. x = y =z    
  4. x2 + y2 +z2 = xy + yz + zx    

The correct answer is: x y + yz + xz £ 0

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