Ive tried this problem numerous times but im constantly going in circles. Not looking for the answer because that would defeat the purpose of doing this question, more for just a small hint if possible
ABCD is a rectangle. Prove OA · OC = OB · OD
where OA, OC, OB and OD are all vectors.
point O is an origin NOT on the same plane as the rectangle. any help is appreciated. thanks
First off, thanks for the prompt replies. Ive used the hints and theyve been very helpful. i overlooked the fact that two perpindicular vectors have a dot product of 0, our dot product unit was a while ago. I was just wondering, if anyone has tried solving this problem and if they have, how long is their solution. My proof is close to 3/4 of a page and i still havent proved the equality. let me know if you managed to solve this and how logn the proof was. thanks again.