[" 14.If "vec a,vec b,vec c" are position vectors of the vertices "A,B" and "C" respectively,then write the value of "vec AB+],[vec BC+vec CA]

If vec a,vec b,vec c are position vectors of the vertices A,B and C respectively,of a trriangle ABC, write the value of vec AB+vec BC+vec CA

If vec a,vec b,vec c are position vectors o the point A,B, and C respectively,write the value of vec AB+vec BC+vec AC

If vec a ,\ vec b ,\ vec c are position vectors o the point A ,\ B ,\ a n d\ C respectively, write the value of vec A B+ vec B C+ vec A Cdot

If vec a ,\ vec b ,\ vec c are position vectors of the vertices A ,\ B\ a n d\ C respectively, of a triangle A B C ,\ write the value of vec A B+ vec B C+ vec C Adot

If vec a,vec b,vec c are position vectors of the vertices of a triangle,then write the position vector of its centroid.

If vec a ,\ vec b ,\ vec c are position vectors of the vertices of a triangle, then write the position vector of its centroid.

If vec a,vec b and vec c are the position vectors of the vertices A,B and C respect ively,of bigoplus ABC , prove that the perpendicular distance of the vertedx A from the base BC of the triangle ABC is (|vec a xxvec b+vec b xxvec c+vec c xxvec a|)/(|vec c-vec b|)

If vec a,vec b,vec c are unit vectors such that vec a+vec b+vec c=vec 0, then write the value of vec a*vec b+vec b*vec c+vec c*vec a

vec a , vec b and vec c are the position vectors of points A ,B and C respectively, prove that : vec a× vec b+ vec b× vec c+ vec c× vec a is vector perpendicular to the plane of triangle A B Cdot