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 the position vectors of the vertices of an equilateral triangle whose orthocentre is the origin, then write the value of vec a+ vec b+ vec c

If vec a,vec b,vec c are position vector of vertices of a triangle ABC,then unit vector perpendicular to its plane is

If vec a,vec b,vec c are the position vectors of the vertices of an equilateral triangle whose orthocenter is at the origin,then

Let the unit vectors vec a,vec b,vec c be the position vectors of the vertices of a Delta ABC. If F is the position vector of the mid point of line segment joining its orthocenter and centroid, then (vec a-vec F)^(2)+(vec b-vec F)^(2)+(vec a-vec F)^(2)

If vec a,vec b,vec c are the position vectors of the vertices of an equilateral triangle whose orthocentre is t the origin,then write the value of vec a+vec b+vec *

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) and vec(b) are position vectors of the points A and B respectively, then what is the position vector of a point C on AB produced such that vec(AC) = vec(2AB) ?

If vec a,vec b,vec c are the position vectors of the vertices A,B,C of a triangle ABC, show that the area triangle ABCis(1)/(2)|vec a xxvec b+vec b xxvec c+vec c xxvec a| Deduce the condition for points vec a,vec b,vec c to be collinear.

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 the position vectors of corners A, B, C or a parallelogram ABCD, then what is the position vector of the corner D?