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` .

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+lambda vec b are collinear for all real values of lambdadot

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+lambda vec b are collinear for all real values of lambdadot

vec(A) and vec(B) are two vectors having the same magnitude but acting at right angle to each other . On the same diagram represent vec(A) + vec(B) and vec(A) - vec(B) using a suitable scale ?

If a ,\ b ,\ c are non coplanar vectors prove that the points having the following position vectors are collinear: vec a ,\ vec b ,\ 3 vec a-2 vec b

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

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

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

Find the angle between two vectors vec a and vec b , if | vec a xx vec b|= vec a . vec b .

If vec a and vec b are two vectors of the same magnitude inclined at an angle of 30^0 such that vec adot vec b=3, find | vec a|,| vec b| .