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Question
If `bara, barb` and `barc` are position vectors of the points A, B, C respectively and `5bara - 3barb - 2barc = bar0`, then find the ratio in which the point C divides the line segement BA.
Sum
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Solution
`5bara - 3barb - 2barc` = 0
∴ `2barc = 5bara - 3barb`
∴ `barc = (5bara - 3barb)/2`
∴ `barc = (5bara - 3barb)/(5 - 3)`
∴ The point C divides the line segment BA externally in ratio 5:3
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