Given ABC, where points D, E, F are the midpoints of the sides BC, CA, and AB, respectively, and given an arbitrary point P, show that .
(solution in the book)
Letting , and be the position vectors of the vertices A, B, and C, respectively (originating from point P)
Why? How do they get that?
maylaygoel, thanks for your explaination.
It makes sense, but I don't get how you got your explanation. I can't imagine an arbitrary point in my mind, which is the main reason I have so much trouble learning vectors.
Do you mind explaining this?
Is a picture representation possible? I really don't understand this.
Here's a picture with triangle ABC, the midpoints D, E & F, showing the last thing running-gag posted:
Vector is in red, and is in blue.
I didn't want to show all of the vectors because it would get cluttered.
Thanks so much. I get it now.