`Let (a,b,c)` be three vectors such that` |bar(a)|=1`and`|bar(b)|=1`,`|bar(c)|=2`, if `bar(a)times(bar(a)timesbar(c))+bar(b)=bar(0)`, then Angle between `bar(a)` and `bar(c)` can be

Let a,b, c be three vectors such that |bar(a)|=1,|bar(b)|=2 and if bar(a)times(bar(a)timesbar(c))+bar(b)=bar(0), then angle between bar(a) and bar(c) can be.

Let bar(a),bar(b) and bar(c) be three vectors having magnitudes 1,1 and 2 respectively. If bar(a)times(bar(a)times bar(c))-bar(b)=0 then the acute angle between bar(a) and bar(c) is

Let bar(a),b,bar(c) are three vectors such that , |bar(a)|=|bar(b)|=|bar(c)|=2 and (bar(a),bar(b))=(pi)/(3)=(bar(b),bar(c))=(bar(c),bar(a)) The volume of the parallelepiped whose adjacent edges are 2bar(a),3bar(b),4bar(c)

If bar(a) and bar(b) be non collinear vectors such that |bar(a)times bar(b)|=bar(a).bar(b) then the angle between bar(a) and bar(b) is

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

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

Three vectors bar(a) , bar(b) and bar(c) are such that [bar(a)timesbar(b)=3bar(a)timesbar(c) .Also |vec a|=|bar(b)|=1 and |bar(c)|=(1)/(3) .If the angle between bar(b) and bar(c) is 60^(@) ,then.

If [bar(a) bar(b) bar(c)]=2 ,then [2(bar(b)timesbar(c))(-bar(c)timesbar(a))(bar(b)timesbar(a))] is equal to

If [bar(a) bar(b) bar(c)]=2 then [2(bar(b)timesbar(c))(bar(-c)timesbar(a))(bar(b)timesbar(a))] is equal to

If bar(a),bar(b),bar(c) are non-coplanar unit vectors such that bar(a)times(bar(b)timesbar(c))=(sqrt(3))/(2)(bar(b)+bar(c)) then the angle between bar(a) and bar(b) is ( bar(b) and bar(c) are non collinear)