If `veca,vecb,vecc` are 3 unit vectors such that `vecaxx(vecbxxvecc)=vecb/2`then (`vecb and vecc` being non parallel). (a)angle between `veca & vecb` is `pi/3` (b)angle between `veca` and `vecc` is `pi/3` (c)angle between `veca` and `vecb` is `pi/2` (d)angle between `veca` and `vecc` is `pi/2`

If veca, vecb and vecc are non -coplanar unit vectors such that vecaxx(vecbxxvecc)=(vecbxxvecc)/sqrt2,vecb and vecc are non- parallel , then prove that the angle between veca and vecb "is" 3pi//4

let veca, vecb and vecc be three unit vectors such that veca xx (vecb xx vecc) =sqrt(3)/2 (vecb + vecc) . If vecb is not parallel to vecc , then the angle between veca and vecb is:

If veca,vecb,vecc are three coplanar unit vector such that vecaxx(vecbxxvecc)=-vecb/2 then the angle betweeen vecb and vecc can be (A) pi/2 (B) pi/6 (C) pi (D) (2pi)/3

If veca,vecb and vecc are non coplanar and unit vectors such that vecaxx(vecbxxvecc)=(vecb+vecc)/sqrt2 then the angle between veca and vecb is (A) (3pi)/4 (B) pi/4 (C) pi/2 (D) pi

If veca,vecb and vecc are non coplanar and unit vectors such that vecaxx(vecbxxvecc)=(vecb+vecc)/sqrt2) then the angle between vea and vecb is (A) (3pi)/4 (B) pi/4 (C) pi/2 (D) pi

If veca, vecb,vecc are unit vectors such that veca is perpendicular to the plane of vecb, vecc and the angle between vecb,vecc is pi/3 , then |veca+vecb+vecc|=

Let vecaxx(vecbxxvecc)=vecb/2 and vecb, vecc are non parallel unit vectors. If angle between veca and vecb is alpha and angle between veca and vecc is beta then |alpha-beta| is equal to (A) pi/2 (B) pi/6 (C) pi/3 (D) pi/4

Let veca,vecb,vecc be three vectors such that |veca|=|vecb|=|vecc|=4 and angle between veca and vecb is pi/3 angle between vecb and vecc is pi/3 and angle between vecc and veca is pi/3 . The volume of the tetrhedron whose adjacent edges are represented by the vectors veca,vecb and vecc is (A) (4sqrt(3))/2 (B) (8sqrt(2))/3 (C) 16/sqrt(3) (D) (16sqrt(2))/3

Let veca,vecb,vecc be three vectors such that |veca|=|vecb|=|vecc|=4 and angle between veca and vecb is pi/3 angle between vecb and vecc is pi/3 and angle between vecc and veca is pi/3 . The heighat of the parallelopiped whose adjacent edges are represented by the ectors veca,vecb and vecc is (A) 4sqrt(2/3) (B) 3sqrt(2/3) (C) 4sqrt(3/2) (D) 3sqrt(3/2)

Let veca,vecb,vecc be three vectors such that |veca|=|vecb|=|vecc|=4 and angle between veca and vecb is pi/3 angle between vecb and vecc is pi/3 and angle between vecc and veca is pi/3 . The volume of the triangular prism whose adjacent edges are represented by the vectors veca,vecb and vecc is (A) 12sqrt(12) (B) 12sqrt(3) (C) 16sqrt(2) (D) 16sqrt(3)