`bar(a), bar(b) , bar(c )` are pair wise non zero and non collinear vectors. If `bar(a) + bar(b)` is collinear with `bar(c ) and bar(b) + bar(c )` is collinear with `bar(a)` then find vector `bar(a) + bar(b) + bar(c )`.

i) bar(a), bar(b), bar(c) are pairwise non zero and non collinear vectors. If bar(a)+bar(b) is collinear with bar(c) and bar(b)+bar(c) is collinear with bar(a) then find the vector bar(a)+bar(b)+bar(c) . ii) If bar(a)+bar(b)+bar(c)=alphabar(d), bar(b)+bar(c)+bar(d)=betabar(a) and bar(a), bar(b), bar(c) are non coplanar vectors, then show that bar(a)+bar(b)+bar(c)+bar(d)=bar(0) .

bar(a), bar(b), bar(c) are non-zero vectors and no two of them are collinear. If bar(a)+2bar(b) is collinear with bar(c) and bar(b)+3bar(c) is collinear with bar(a) . Then find bar(a)+2bar(b)+6bar(c) .

Let bar(a) , bar(b) , bar(c) be three non- zero vectors which are pair-wise non- collinear.If bar(a)+3bar(b) is collinear with bar(c) and bar(b)+2bar(c) is collinear with bar(a) , then bar(a)+3bar(b)+6bar(c)=...........

Let bar(a),bar(b) and bar(c) be three non-zero vectors,no two of which are collinear.If the vectors bar(a)+2bar(b) is collinear with bar(c) and bar(b)+3bar(c) is collinear with bar(a), then bar(a)+2bar(b)+6bar(c) is equal to

The vectors bar(a),bar(b)&bar(c) each two of which are non collinear. If bar(a)+bar(b) is collinear with bar(c),bar(b)+bar(c) is collinear with bar(a)&|bar(a)|=|bar(b)|=|bar(c)|=sqrt(2) .Then the value of |bar(a).bar(b)+bar(b).bar(c)+bar(c).bar(a)|=

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

If bar(a) and bar(b) are two non-zero, non-collinear vectors such that xbar(a)+ybar(b)=bar(0) then

bar(a), bar(b), bar(c) are three vectors of which every pair is non-collinear. If the vectors bar(a)+2bar(b) and bar(b)+3bar(c) are collinear with bar(c) and bar(a) respectively, then bar(a)+2bar(b)+6bar(c)=

If bar(a), bar(b) are two non collinear vectors, then bar(r)=sbar(a)+tbar(b) represents

bar(a), bar(b), bar(c) are three vectors of which every pair is non-collinear. If the vectors bar(a)+bar(b), bar(b)+bar(c) are collinear with bar(c), bar(a) respectively, then bar(a)+bar(b)+bar(c)=