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AP EAMCET2014MathematicsVector Algebra

Three non-zero non-collinear vectors a , b and c are such that a +3 b is collinear with c , while c is 3 b +2 c collinear with a . Then a +3 b +2 c equals to

Options

  1. A0
  2. B2 a
  3. C3 b
  4. D4 c

Correct answer

A. 0

Step-by-step solution

Given, a +3 b is collinear with c. array rrr & a+3 b= c or & a+3 b- c=0 array And 3 b +2 c is collinear with a . aligned 3 b+2 c & = a 3 b+2 c- a & =0 aligned From Eqs. (i) and (ii), we get a+3 b- c=3 b+2 c- a On equating c , we get =-2 On putting =-2 in Eq. (i), we get a +3 b +2 c =0

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