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Question

stack a with rightwards arrow on top subscript i end subscript comma i element of left curly bracket 12 comma 3 right curly bracket are three vectors such that open vertical bar stack a subscript i end subscript with rightwards arrow on top close vertical bar equals square root of 15 and open vertical bar a with rightwards arrow on top subscript i minus a with rightwards arrow on top subscript j close vertical bar equals 6 for i not equal to j. Then the value of open square brackets stack a subscript 1 end subscript with rightwards arrow on top stack blank a subscript 2 blank end subscript with rightwards arrow on top stack a subscript 3 end subscript with rightwards arrow on top close square brackets is equal to

  1. 6 square root of 2    
  2. 12    
  3. 24    
  4. 36    

The correct answer is: 36


    O left parenthesis stack 0 with minus on top right parenthesis comma A open parentheses stack a subscript 1 end subscript with minus on top close parentheses comma B open parentheses stack a subscript 2 end subscript with minus on top close parentheses comma C open parentheses stack a subscript 3 end subscript with rightwards arrow on top close parentheses are vertices of a tetrahedron.

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