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

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.

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

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

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)|=

If bar(a) , bar(b) , bar(c) are non -zero,non - coplanar vectors and bar(a)+bar(b)+bar(c) , -a+8bar(b)+7bar(c) , 5bar(a)+lambdabar(b)-3bar(c) are coplanar,then the value of |lambda| is

Let bar(a),bar(b) be two non zero vectors such that vectors 3bar(a)-5bar(b) and 2bar(a)+bar(b) are mutually perpendicular. If bar(a)+4bar(b) and bar(b)-bar(a) are also mutually perpendicular then the cosine angle between bar(a) and bar(b) is

If the vectors bar(a)+bar(b)+bar(c),bar(a)+lambdabar(b)+2bar(c) and -bar(a)+bar(b)+bar(c) are linearly dependent then lambda is

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)=...........

If the vectors bar(a)=2bar(i)+3bar(j)+6bar(k) and bar(b) are collinear and |bar(b)|=21 , then bar(b) equals to