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Question
If `bara, barb, barc` are the 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 line segment BA.
Solution
Given:
`5 bar a - 3 bar b - 2 bar c = 0`
∴ `2 bar c = 5 bar a - 3 bar b`
`barc = (5 bar a - 3 bar b )/2`
`bar c = (5 bar a - 3 bar b)/ (5 - 3)`
This shows that c divides BA externally in the ratio 5 : 3.
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