Year 1 / AS maths - Use Vectors to Prove that the Diagonals of a Parallelogram Bisect Each Other. 

Thank you so much for your lovely comment! I'm very glad to hear that the video helped you :)

You are very welcome :)

Very happy to hear that, thank you :)

You're welcome! :)

Thank you for your question. In the video we set the fraction along OE as lambda and the fraction along AC as mu at which the diagonals intersect. Then we show that lambda is a half but also at 3.45 mins into the video that lambda = mu. So we don't assume that that the point of intersection halves the diagonal AC as we also show that mu is a half too.

Thank you for your question. If you would like to know how to summarise in words what the proof shows, then the conclusion can be found in the video between 3.56 and 4.15

When you travel from A to C via O this involves moving in the direction -a then c

Hello, lambda is a number between 0 and 1 which tells us how far the vector OE is along the vector OB. So lambda stands for OE, which is along the same line as OB. I hope this helps. :)

@@helenmathstutor Thank you a lot for your answer.I really appreciate it😍and I am grateful to you😊😇

The length OE is a fraction of the length OB. We've called that fraction lambda. So lambda will be somewhere between 0 and 1. We show that lanmbda is a half, which means the diagonals bisect.

@@helenmathstutor Thank you, Mam.