If `vec a_(1)` and `vec a_(2)` are two non collinear unit vectors inclined at `60^(0)` to each other than the value of `(vec a_(1)-vec a_(2))*(2vec a_(1)+vec a_(2))` is

If vec A_(1) and vec A_(2) are two non-collinear unit vectors and if |vec A_(1)+vec A_(2)|=sqrt(3) then the value of (vec A_(1)-vec A_(2))*(2vec A_(1)+vec A_(2)) is

If vec(a_(1)) and vec(a_(2)) are two non-collinear unit vectors and if |vec(a_(1)) + vec(a_(2))|=sqrt(3) , then the value of (vec(a_(1))-vec(a_(2))). (2 vec(a_(1))+vec(a_(2))) is :

If a_(1) and a_(2) aare two non- collineaar unit vectors and if |a_(1)+a_(2)|=sqrt(3), ,then value of (a_(1)-a_(2)).(2a_(1)-a_(2)) is

vec a and vec b are two non-collinear vectors then the value of {(vec a)/(|vec a|^(2))-(vec b)/(|vec b|^(2))} is equal to

If vec a and vec b are two non collinear unit vectors such that |vec a+vec b|=3, find (2vec a-5vec b)3vec a+vec b

If vec a and vec b are two non-collinear unit vectors such that |vec a+vec b|=sqrt(3), find (2vec a-5vec b)*(3vec a+vec b)

If vec a and vec b are non-collinear vectors,find the value of x for which the vectors vec alpha=(2x+1)vec a-vec b and vec beta=(x-2)vec a+vec b are collinear.

If vec a, and vec b be two non-collinear unit vector such that vec a xx(vec a xxvec b)=(1)/(2)vec b, then find the angle between vec a, and vec b

The base vectors vec a_ (1), vec a_ (2), vec a_ (3) are given in terms vectors vec b_ (1), vec b_ (2), vec b_ (3) vec a_ (1) = 2vec b_ (1) + 3vec b_ (1) -vec b_ (1), vec a_ (2) = vec a_ (1) -2vec b_ (2) + 2vec b_ (3), vec a_ (3) = - 2vec b_ ( 1) + vec b_ (2) -2vec b_ (3) if vec F_ (1) = 3vec b_ (1) -vec b_ (2) + 2vec b_ (3), Express vec F in terms of vec a_ (1) , vec a_ (2), vec a_ (3)

If vec a and vec b are non-collinear vectors,then the value of x for which vectors rarrvec alpha=(x-2)vec a+vec b and vec beta=(3+2x)vec a-2vec b are collinear,is given by (i) (1)/(2)(iii)(1)/(4)(iii)0(iv)-1