If `bar(a), bar(b), bar(c )` are P.V's of the vertices A,B,C respectively of `DeltaABC` then find the vector equation of the median through the vertex A.

If bar(a), bar(b), bar(c) are the position vectors of the vertices A, B, C respectively of DeltaABC then find the vector equation of the median through the vertex A.

If bar(a), bar(b), bar(c) are the position vectors of the vertices A, B, C of the triangle ABC, then the equation of the median from A to BC is

In Delta ABC, if bar(a), bar(b), bar(c) are position vectors of the vertices A, B, and C respectively, then prove that the position vector of the centroid G is (1)/(3) (bar(a) + bar(b) + bar(c))

If bar(a), bar(b), bar(c ) respresents the vertices A, B, and C respectively of DeltaABC then prove that |(bar(a) xx bar(b)) + (bar(b) xx bar(c ))+ (bar(c ) xx bar(a))| is twice the area of DeltaABC .

If bar(a),bar(b),bar(c) are the position vectors of the points A,B,C respectively such that 3bar(a)+5bar(b)=8bar(c) , the ratio in which A divides BC is

If bar(a),bar(b),bar(c) are position vectors of vertices A,B,C of Delta ABC. If bar(r) is position vector of apoint P such that (|bar(b)-bar(c)|+|bar(c)-bar(a)|+|bar(a)-bar(b)|)bar(r)=|bar(b)-bar(c)|bar(a)+|bar(c)-bar(a)|bar(b)+|bar(a)-bar(b)|bar(c) then the point P is

If bar(a), bar(b), bar(c) are three non-coplanar vectors, then the vector equation bar(r)=(1-p-q)bar(a)+pbar(b)+qbar(c) represents