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AP EAMCET2004MathematicsVector Algebra

If 3 i +3 j + 3 k , i + k , 3 i + 3 j + k are coplanar, then is equal to

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

A. 1

Step-by-step solution

Let a =3 i +3 j + 3 k , b = i + k and c = 3 i + 3 j + k Since, these vectors are coplanar aligned & a ( b c )=0 & | array ccc 3 & 3 & 3 1 & 0 & 1 3 & 3 & array |=0 & 3(0- 3 )-3( - 3 )+ 3 ( 3 -0)=0 & -3 3 -3 +3 3 +3=0 & =1 & aligned

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