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)|=

If bar(a),bar(b),bar(c) are three non zero vectors,then bar(a).bar(b)=bar(a).bar(c)rArr

If bar(c)=3bar(a)-2bar(b) , then prove that [bar(a)bar(b)bar(c)]=0 .

If bar(a),bar(b) and bar(c) are mutually perpendicular vectors then [bar(a)bar(b)bar(c)]=

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

If (bar(a),bar(b))=(pi)/(6),bar(c) is perpendicular to bar(a) and bar(b),|bar(a)|=3,|bar(b)|=4,|bar(c)|=6 then |[bar(a)bar(b)bar(c)]|

Let bar(a),bar(b),bar(c) be three non-zero vectors such that bar(a)+bar(b)+bar(c)=0 .Then lambda(bar(a)timesbar(b))+bar(c)timesbar(b)+bar(a)timesbar(c)=0 where lambda is

If bar(c) = 3 bar(a) - 2 bar(b) then prove that [(bar(a),bar(b),bar(c))] = 0