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# Vectors and geometry watch

1. ABCis a triangle and P is any point in BC. If PQ is the resultant of AP,PB,PC show that ABQC is a parallelogram, and Q is therefore fixed point.
2. (Original post by cathedra x)
ABCis a triangle and P is any point in BC. If PQ is the resultant of AP,PB,PC show that ABQC is a parallelogram, and Q is therefore fixed point.
Since you've posted several times on the maths forum now, you should be familiar with the guidelines - if not, please read.

It's a good idea to draw a diagram.

Since PQ is the resultant of three given vectors, write it as such....(1)

Then to show it's a parallelogram, you want to show AC=BQ, and AB=CQ

To show AC= BQ, work out two routes from A to C. One can just be AC, the other needs to incorporate BQ, Set them equal and use (1) to simplify.

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