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Doubt

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Asked by brijk456 16th August 2019, 9:20 AM
Answered by Expert
Answer:
( Vectors are typed as bold letters, i and j are unit vectors along x any y axis )
 
Let A = i   and B = p i + q j .
 
Since B is a unit vector, we have p2 + q2 = 1  ......................(1)
 
  if we choose p = 1/2 , then q = √3/2
 
Since A+B+C+D = 0, let us choose C = - i and D = -(1/2) i - (√3/2) j
 
Then A·B + B·C + C·D = (1/2) - (1/2) + (1/2) = (1/2)  ........................(2)
 
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Result of eqn.(2) depends the choice of p and q we made for eqn.(1)
 
I suspect the question sholud ask the result of A·B + B·C + C·D+D·A
and this will be zero,  independent of choice we made for p and q
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Answered by Expert 16th August 2019, 11:01 AM
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