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प्रश्न
If `overlinea, overlineb, overlinec` are the position vectors of the points A, B, C respectively and `5overlinea + 3overlineb - 8overlinec = overline0` then find the ratio in which the point C divides the line segment AB.
उत्तर
`5overlinea + 3overlineb - 8overlinec = overline0`
∴ `8overlinec = 5overlinea + 3overlineb`
∴ `overlinec = (5overlinea + 3overlineb)/8`
∴ `overlinec = (5overlinea + 3overlineb)/(5 + 3)`
∴ As per the section formula for internal division,
Point C divides the line segment AB internally in the ratio 5 : 3
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