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 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)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) 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 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),bar(c) are position vectors of the non- collinear points A,B, C respectively,the shortest distance of A from BC is

If bar(a)=3bar(i)-5bar(j),bar(b)=6bar(i)+3bar(j) are two vectors and bar(c) is vector such that bar(c)=bar(a)timesbar(b) then |bar(a)|:|bar(b)|:|bar(c)|=

if bar(a),bar(b),bar(c) are any three vectors then prove that [bar(a),bar(b)+bar(c),bar(a)+bar(b)+bar(c)]=0

If bar(a)xxbar(b)=bar(c) and bar(b)xxbar(c)=bar(a), then

If bar(a) and bar(c) are unit parallel vectors |bar(b)|=6 then bar(b)-3bar(c)=lambdabar(a) if lambda

bar(a),bar(b),bar(c ) are three coplanar vectors, If bar(a) is not parallel to bar(b) , Show that