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`        a,b,c are three non zero vectors no two of which are collinear If the collinear .If the vectors a+2b is the collinear with c and b+3c is collinear with a,a+2b+6c is equal to`
7 years ago

147 Points
```										Dear pallavi
let a+2 b = u c  ............1
and   b+3c =va ............2
put replace vctor a from 1 and b
b+3c =v(uc-2b)
or  (1+2v)b=(uv-3)c
since b and c are not colinier so
1+2v =0   or v=-1/2
and uv-3=0   or u=-6
put value of u in equation 1
a+2b=-6c
a+2b+6c=0
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```
7 years ago
Viraj Jorapur
16 Points
```										Let a+2b=kc
b+3c=qa

From the first equation, we get, b=(kc-a)/2
Substituting in the other equation, we get
(k+6)c=(2q+1)a
But as these vectors are not collinear, so the L.H.S. and R.H.S. must be equal to zero independently.

So we get (k+6)=0
k=-6
So a+2b= -6c
a+2b+6c=0
```
7 years ago
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