`bar a` and `bar b` are non- collinear vectors. If `barc = (x-2)bar a+bar b` and `bar d = (2x+1)bar a- bar b` are collinear , then find the value of x

bar(a) and bar(b) are non-collinear vectors. If bar(c)=(x-2)bar(a)+bar(b) and bar(d)=(2x+1)bar(a)-bar(b) are collinear, then find the value of x.

If the vectors bar(a)=-2bar(i)+3bar(j)+ybar(k) and bar(b)=xbar(i)-6bar(j)+2bar(k) are collinear,then the value of x+y is

If the vectors bar(a)=-2bar(i)+3bar(j)+ybar(k) and bar(b)=xbar(i)-6bar(j)+2bar(k) are collinear, then the value of x+y is

If bar(a), bar(b) are two non-collinear vectors such that bar(a)+2bar(b) and bar(b)-lambdabar(a) are collinear, find lambda .

The vectors bar(a) and bar(b) are non-collinear.If bar(a)+(x+1)bar(b) and (2x-3)bar(b)-bar(a) are collinear,then the value of x is

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 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 ) .

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

If bar a, bar b " and " barc are unit coplanar vetors then [2 bar a -bar b " "2 bar b -barc " " 2 barc-bara]=....

Let bar(a) , bar(b) be non-collinear vectors. If alpha = (x+4y)bar(a)+(2x+y+1)bar(b), beta = (y-2x+2)bar(a)+(2x-3y-1)bar(b) are such that 3alpha = 2beta then find x, y.