If `bar(a),bar(b),bar(c)` are three coterminous edges of a parallelopiped of volume `6` then value of `[bar(a)timesbar(b)quad bar(a)timesbar(c)quad bar(b)timesbar(c)]=`

If bar(a)+bar(b)+bar(c)=bar(0) then bar(a)timesbar(b)=

If bar(a)=hat i+hat j+2hat k, bar(b)=hat i+2hat j+2hat k and |bar(c)_(1)|=1 ,then the maximum value of [bar(a)timesbar(b) quad bar(b)timesbar(c) quad bar(c)timesbar(a)] is

If volume of parallelopiped determined by bar(a),bar(b),bar(c) is 5, then the volume of parallelopiped determined by 2bar(a)+bar(b)+2bar(c),bar(a)-bar(b)-2bar(c),3bar(a)+bar(b)-6bar(c)

The angle between (bar(A)timesbar(B))) and (bar(B)timesbar(A)) is (in radian)

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(a)+2bar(b)2bar(b)+bar(c)5bar(c)+bar(a)]=k[bar(a)bar(b)bar(c)]

If bar(a)xxbar(b)=bar(c) and bar(b)xxbar(c)=bar(a), then

bar(a),bar(b),bar(c) represent three concurrent edges of a rectangular parallelepiped whose lengths are 4,3 ,2 units respectively then find value of (bar(a)+bar(b)+bar(c))*(bar(a)timesbar(b)+bar(b)timesbar(c)+bar(c)timesbar(a))

If bar(a), bar(b), bar(c) are non-coplanar vectors and x, y, z are scalars such that bar(a)=x(bar(b)timesbar(c))+y(bar(c)timesbar(a))+z(bar(a)timesbar(b)) then x =

bar(a),bar(b),bar(c) are vectors such that [bar(a)bar(b)bar(c)]=4 then [bar(a)timesbar(b) bar(b)timesbar(c) bar(c)timesbar(a)] is (A) 16 (B) 64 (C) 4 (D)8