If ` vec a` and ` vec b` are two non-collinear vectors having the same initial point. What are the vectors represented by ` vec a+ vec b` and ` vec a- vec b` .

vec a and vec b are two non-collinear unit vectors vec a,vec b,xvec a-yvec b form a triangle.

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 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.

For any two vectors vec a, vec b | vec a * vec b | <= | vec a || vec b |

If vec a,vec b are two non-collinear vectors,prove that the points with position vectors vec a+vec b,vec a-vec b and vec a+lambdavec b are collinear for all real values of lambda

If vec a and vec b are non-collinear vectors,then the value of x for which vectors vec alpha=(x-2)vec a+vec b and vec beta=(3+2x)vec a-2vec b are collinear,is given by

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 collinear vectors, then which of the following are incorrect:(A) vec b=lambda vec a , for some scalar lambda (B) vec a=+- vec b (C) the respective components of vec a and vec b are proportional (D) both the vectors vec a and vec b have same direction, but different magnitudes.

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 unit vectors and |vec a+vec b|=sqrt(3) then (2vec a+5vec b)*(3vec a-vec b)=