If ` vec a , vec b and vec c` are three non-zero vectors, no two of which are collinear, ` vec a+2 vec b` is collinear with `vec c` and ` vec b+3 vec c` is collinear with ` vec a ,` then find the value of `| vec a+2 vec b+6 vec c|`.

If vec a ,\ vec b ,\ vec c are three non-zero vectors, no two of which are collinear and the vector vec a+ vec b is collinear with vec c ,\ vec b+ vec c is collinear with vec a ,\ t h e n\ vec a+ vec b+ vec c= vec a b. vec b c. vec c d. none of these

If vec a , vec b, vec c are three non- null vectors such that any two of them are non-collinear. If vec a+ vec b is collinear with vec ca n d vec b+ vec c is collinear with vec a , then find vec a+ vec b+ vecc

Let vec a , vec b, vec c be three non-zero vectors such that any two of them are non-collinear. If vec a+2 vec b is collinear with vec ca n d vec b+3 vec c is collinear with vec a then prove that vec a+2 vec b+6 vec c= vec0

Given three vectors vec a , vec b ,a n d vec c two of which are non-collinear. Further if ( vec a+ vec b) is collinear with vec c ,( vec b+ vec c) is collinear with vec a ,| vec a|=| vec b|=| vec c|=sqrt(2)dot Find the value of vec a. vec b+ vec b. vec c+ vec c. vec a a. 3 b. -3 c. 0 d. cannot be evaluated

If vec a , vec b , vec c are three non-zero vectors (no two of which are collinear), such that the pairs of vectors (vec a + vec b, vec c) and (vec b + vec c , vec a) are collinear, then vec a + vec b + vec c =

If vec a , vec b , vec c are three non-coplanar vectors, prove that [ vec a+ vec b+ vec c vec a+ vec b vec a+ vec c]=-[ vec a vec b vec c]

Let vec a , vec b , and vec c are vectors such that | vec a|=3,| vec b|=4 and | vec c|=5, and ( vec a+ vec b) is perpendicular to vec c ,( vec b+ vec c) is perpendicular to vec a and ( vec c+ vec a) is perpendicular to vec bdot Then find the value of | vec a+ vec b+ vec c| .

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 , vec b , and vec c be non-zero vectors such that no two are collinear or ( vec axx vec b)xx vec c=1/3| vec b|| vec c| vec adot If theta is the acute angle between vectors vec b and vecc , then find the value of sin thetadot

vec a , vec b , vec c are unit vectors such that vec a+ vec b+ vec c=0. then find the value of vec a. vec b+ vec b.vec c+ vec c. vec a