[" 6.If "bar(a),bar(b),bar(c)" are the position vectors of the vertices "A,B" and "C" respectively of "/_AC" then find the "],[" vector equations of the medtan 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 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 of the triangle ABC, then the equation of the median from A to BC is

If bar(a),bar(b),bar(c) are position vectors of the non- collinear points A,B, C respectively,the shortest distance of A from 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) 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 the position vectors of the points A, B, C respectively and 2bar(a)+3bar(b)-5bar(c)=bar(0) , then find the ratio in which the point C divides line segment AB.