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Question

The position vectors of P and Q are 5 stack i with hat on top plus 4 stack j with hat on top plus a stack k with hat on top andnegative stack i with hat on top plus 2 stack j with hat on top minus 2 stack k with hat on toprespectively. If the distance between them is 7, then the value of a will be

  1. –5, 1  
  2. 5, 1  
  3. 0, 5  
  4. 1, 0  

The correct answer is: –5, 1


    Given Error converting from MathML to accessible text. = 7
    Error converting from MathML to accessible text.
    Error converting from MathML to accessible text.
    Error converting from MathML to accessible text.
     40 + (2 + a)2 = 49
     (2 + a)2 = 9
     2 + a = ± 3
     a = 1, – 5

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