`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

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

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

If bara,barb,barc are non-coplanar vectors then [bar(a)+2bar(b)" "bar(a)+bar(c)" "bar(b)]=

Let bar(a) and bar(b) be unit vector.If the vectors bar(c)=bar(a)+2bar(b) and bar(d)=5bar(a)-4bar(b) are perpendicular to the each other then angle between bar(a) and bar(b) is

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

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

Given four non zero vectors bar a,bar b,bar c and bar d. The vectors bar a,bar b and bar c are coplanar but not collinear pair by pairand vector bar d is not coplanar with vectors bar a,bar b and bar c and hat (bar a bar b) = hat (bar b bar c) = pi/3,(bar d bar b)=beta ,If (bar d bar c)=cos^-1(mcos beta+ncos alpha) then m-n is :