Problem 54 of 7
Find the missing endpoint when endpoint A(-1,-1) and partition point P(1,3) are given with condition P partitions AB in ratio 2:1.
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reverse weighted-average relationship.
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Reverse the weighted-average or vector relationship for the specified partition.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Translate the partition condition into a fraction from known endpoint.
2. Set partition point equal to start plus fraction of displacement.
3. Solve coordinates of the missing endpoint.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Assuming midpoint when the ratio is not 1:1.