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Q.

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

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a

0

b

4c

c

3b

d

2a

answer is A.

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Detailed Solution

a+3b collinear with c  a+3b=λc  a+3b+2c=(λ+2)c       3b+2c=Ma          a+3b+2c=(M+1)a λ+2=0=M+1      a+3b+2c=0

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