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)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 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),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

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 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),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

Let the vectors bar(a),bar(b),bar(c) be such that |bar(a)|=2,|bar(b)|=4 and |bar(c)|=4 . If the projection of bar(b) on bar(a) on is equal to the projection of bar(c) on bar(a) and bar(b) is perpendicular to bar(c) then the value of |bar(a)+bar(b)-bar(c)| is

Let the vectors bar(a),bar(b),bar(c) be such that |bar(a)|=2,|bar(b)|=4 and |bar(c)|=4 . If the projection of bar(b) on bar(a) is equal to the projection of bar(c) on bar(a) and bar(b) is perpendicular to bar(c) ,then the value of |bar(a)+bar(b)-bar(c)| is