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Question

Let →a,→b and →c be there non-zero vectors such that no two of these are collinear. If the vector →a+2→b is collinear with →c and →b+3→c is collinear with →a then →a+2→b+6→c equals

A
0
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B
λb
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C
λc
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D
λa
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Solution

The correct option is D 0
Let a+2b=4c ……….(1)
b+3c=va …………(2)
Put vector a in (2)
b+3c=v(uc2b)
b(1+2v)=c(uv3)
Since b & c are not collinear
1+2v=0 v=y2
uv3=0 u=3v=3y2=6
Put values in (1)
a+2b=4c
a+2b=6c
a+2b+6c=0.

1037483_1026910_ans_ccf7d3fe5bd04c069e578f654d298ebb.jpg

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