# 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

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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

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Given 3bara + 5barb - 8barc = 0
3bara = 8barc - 5barc
bara= (8barc - bar5)/(3)
= (8barc - 5barc)/(8-5)
By section formula , point A divides line segment BC extrnally in the ratio 8:5