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.

If bar(a), bar(b) and bar(c) are position vectors of the points A, B, C respectively and 5 bar(a) - 3 bar(b) - 2 bar(c) = bar(0) , then find the ratio in which the point C divides the lines segment BA.

If bar(a),bar(b)andbar(c) are the position vectors of the points A,B and C respectively, such that (1) 3bar(a)+5bar(b)=8bar(c) , find the ratio in which C divides line segment AB. (2) 3bar(a)+5bar(b)-8bar(c)=bar(0) , find the ratio in. which A divides BC.

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(1,3,0),B(2,5,0),C(4,2,0) respectively and bar(c)=t_(1)bar(a)+t_(2)bar(b) , then find values of t_(1) and t_(2) .

If bar(a),bar(b) and bar(c) are position vectors of A,B and C respectively such that 9bar(c)=4bar(a)+5bar(b) Show that A,B and C are collinear, hence find ratio in which C divides AB

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

The position vectors of the points A, B with respect to O are bar(a) and bar(b) and c is mid point of line segment bar(AB) then bar(OC)=

If bar(a),bar(b),bar(c),bar(d) are position vectors of the points A,B,C and D respectively in three dimensional space and satisfy the relation 3bar(a)-2bar(b)+bar(c)-2bar(d)=0 .Then which of the following is incorrect

The position vectors of points A,B,C are respectively bar(a),bar(b),bar(c). If L divides AB in 3:4&M divides BC in 2:1 both externally,then vec LM is-

If the points A(bar(a)),B(bar(b)),C(bar(c)) satisfy the relation 3bar(a)-8bar(b)+5bar(c)=bar(0) then the points are