A point `C=(5bar(a)+4bar(b)-5bar(c))/(3)` divides the line joining `A=bar(a)-2bar(b)+3bar(c)` and B in the ratio `2:1` then `bar(AB)` 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

If bar(c)=3bar(a)-2bar(b) , then prove that [bar(a)bar(b)bar(c)]=0 .

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)+2bar(b)+3bar(c)=bar(0) then bar(a)xxbar(b)+bar(b)xxbar(c)+bar(c)xxbar(a)=

If bar(c) = 3 bar(a) - 2 bar(b) then prove that [(bar(a),bar(b),bar(c))] = 0

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

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 length of longer diagonal of the parallelogram constructed an 5bar(a)+2bar(b) and bar(a)-3bar(b) as sides if it is given |bar(a)|=2sqrt(2) , |bar(b)|=3 and (bar(a),bar(b))=pi/4 is

Let bar(a),bar(b) and bar(c) be three non-zero vectors,no two of which are collinear.If the vectors bar(a)+2bar(b) is collinear with bar(c) and bar(b)+3bar(c) is collinear with bar(a), then bar(a)+2bar(b)+6bar(c) is equal to