If `vec(a),vec(b),vec(c)` are the position vectors of the points A, B, C respectively such that `3vec(a)+5vec(b)=8vec(c)` then find the ratio in which C divides AB.

If `vec(a),vec(b),vec(c)` are the position vectors of the points A, B,

1.	If `vec(a),vec(b),vec(c)` are the position vectors of the points A, B, C respectively such that `3vec(a)+5vec(b)=8vec(c)` then find the ratio in which C divides AB.
Answer» `3vec(a)+5vec(b)=8vec(c)` `:.vec(c)=(3vec(a)+5vec(b))/(8)` `=(3vec(a)+5vec(b))/(3+5)=(5vec(b)+3vec(a))/(5+3)` `:.vec(c)` divides AB internally in the ratio `5:3`

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If `vec(a),vec(b),vec(c)` are the position vectors of the points A, B, C respectively such that `3vec(a)+5vec(b)=8vec(c)` then find the ratio in which C divides AB.

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