If ` vec a , vec b` are two vectors ,then which of the following statements is/ are correct : `| vec a|=| vec b| =>vec a=+- vec b`

If vec a , vec b are two vectors, then which of the following statements is/ are correct : vec a=- vec b =>| vec a|=| vec b|

If vec a , vec b are two vectors, then write the truth value of the following statements: vec a=- vec b| vec a|=| vec b| | vec a|=| vec b| vec a=+- vec b | vec a|=| vec b| vec a= 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) are two vectors, then the correct relation is :

If vec a in the plane of vectors vec b\ a n d\ vec c then which of the following is correct? [ vec a\ vec b\ vec c]=0 b. "\" [ vec a\ vec b\ vec c]=1' c. "[ vec a\ vec b\ vec c]=3" d. "[ vec b\ vec c\ vec a]=1"

If vec a ,\ vec b ,\ vec c are non coplanar vectors, prove that the following vectors are non coplanar: \ 2 vec a- vec b+3 vec c ,\ vec a+ vec b-2 vec c\ a n d\ vec a+ vec b-3 vec c

If vec a , vec b are any two vectors, then give the geometrical interpretation of relation | vec a+ vec b|=| vec a- vec b|

If vec a ,\ vec b ,\ vec c are non coplanar vectors, prove that the following vectors are non coplanar: \ vec a+2 vec b+3 vec c ,\ 2 vec a+ vec b+3 vec c\ a n d\ vec a+ vec b+ vec c

Find the angle between two vectors vec a and vec b , if | vec a xx 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+lambda vec b are collinear for all real values of lambdadot