Show that if P, A, B are any three points, then \( \lambda \overrig...

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Show that if P, A, B are any three points, then \( \lambda \overrightarrow{\mathrm{PA}}+\mu \overrightarrow{\mathrm{PB}}=(\lambda+\mu) \overrightarrow{\mathrm{PC}} \) where \( \mathrm{C} \) divides \( [\mathrm{AB}] \) in the ratio \( \mu: \lambda \).
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