If `vec a`=(-1,1,2);`vec b`=(2,1,-1);`vec c`=(-2,1,3) then the angle between `2 vec a -vec c` and `vec a+ vec b` is

Let (vec a+vec b)*(vec a-b)=3 where |vec b|=1 and vec a*vec b=(3)/(2) then the angle between (vec a+2vec b) and vec a is

If vec a,vec b,vec c be three vectors such that |vec a+vec b+vec c|=1,vec c=lambda(vec a xxvec b) and |vec a|=(1)/(sqrt(2)),|vec b|=(1)/(sqrt(3)),|vec c|=(1)/(sqrt(6)), then the angle between vec a and vec b is

If vec a , vec b ,a n d vec c are such that [ vec a vec b vec c]=1, vec c=lambda vec axx vec b , , | vec a|=sqrt(2),| vec b|=sqrt(3)a n d| vec c|=1/(sqrt(3)) , then the angle between vec a and vec b is pi/6 b. pi/4 c. pi/3 d. pi/2

If vec a,vec b, and vec c are such that [vec avec bvec c]=1,vec c=lambdavec a xxvec b, angle, between vec a and vec b is (2 pi)/(3),|vec a|=sqrt(2),|vec b|=sqrt(3) and |vec c|=(1)/(sqrt(3)) then the angel between vec a and vec b is (pi)/(6) b.(pi)/(4) c.(pi)/(3) d.(pi)/(2)

If vec a , vec b ,a n d vec c are such that [ vec a vec b vec c]=1, vec c=lambda vec axx vec b , angle, between vec aa n d vec b is (2pi)/3,| vec a|=sqrt(2),| vec b|=sqrt(3)a n d| vec c|=1/(sqrt(3)) , then the angel between vec aa n d vec b is pi/6 b. pi/4 c. pi/3 d. pi/2

If vec a , vec b ,a n d vec c are such that [ vec a vec b vec c]=1, vec c=lambda vec axx vec b , angle, between vec aa n d vec b is (2pi)/3,| vec a|=sqrt(2),| vec b|=sqrt(3)a n d| vec c|=1/(sqrt(3)) , then the angel between vec aa n d vec b is a. pi/6 b. pi/4 c. pi/3 d. pi/2

If vec a =(2,3,6) , vec b=(2,-2,1) , vec c=(-1,0,2) , find the direction cosines of vec b -vec a+2vec c and the unit vector in direction of vec b -vec a + 2vec c .

If vec a = (2,-2,1) , vec b = (2,3,6) and vec c = (-1,0,2) ,Find the magnitude and direction of vec a + vec b - vec c .

vec b,vec c are unit vectors and |vec a|=7vec a xx(vec b xxvec c)+vec b xx(vec c xxvec a)=(1)/(2)vec a then the angle between vec a and vec a is