TR-12: Distance Between Points in Space (Trigonometry series by Dennis F. Davis)

The general distance formula is extended to 3 dimensions to provide the last application of the Pythagorean Theorem: #6 Determining the distance between two points in 3D space.

Series introduction including complete video list:

International A level, Intl A Level, IAL, Edexcel, Pearson exam board, CIE, Cambridge exam board, P3, P2, Year 10, Class 11

[perryperry]

THIS CHANNEL IS HUGELY UNDERRATED
IM ONNA TRY TO INCREASE YOUR VIEWS BY RECOMMENDING THIS HANNEL TO EVERY FELLOW CLASSMATE I KNOW . ONLY A FEW PEOPLE CAN UNDERSTAND THE VALUE OF THIS TYPE OF CONTENT THAT GIVES SUCH CONCEPTUAL CLARITY . FROM THE BOTTOM OF MY HEAERT, THANK

[gpn]

Working my way through this. Will try to finish this series over my two week uni break to set up for trigonometric calculus. Very well presented and enjoyable. Thank you!

[SoloRenegade]

no one ever mentions this version of the Pythagorean theorem. I constantly blow the minds of engineering students when they realize the magnitude of vectors is just Pythagorean.

[kowshikhero]

Your Amazing Sir.... Keep Making videos up... 🎉🎉🎉

[josephlai]

Thank you so much. Your instructional videos are so interesting. I wished I had a teacher of your calibre, passion and creativity in teaching maths during my formative schooling years.

[ienergytech]

As usual, very clear an explanation. Thank you. Learnt something new today.

[muqtarjamaegal]

Please continue like that you are amazing

[motoflyte]

My feelings on these videos make sense to some people... In a world filled with meaningless drivvle, listening to your videos while I am working on my own projects enhances my life in ways nonquantifiable.

[auldweegie]

I used something similar to define points on a sphere using Cinema 4D. Slight difference was y and z axis were reversed. IE, y axis was vertical and z was (negative) horizontal. IE, into plane.
Another ‘hitch’ was the way that C4D described angles in the plane >180°.
It measured FROM the Origin and described >180° as -((180 - (0~180)) This gave a negative value and caused ructions when trying to work out an ‘Expresso’ node module to describe a point on the sphere. I attributed it to be due to the Sin/Cos Flip in the quadrants with a negative co-ordinate.
It took me a long time to make an animation using an interactive C4D file to demonstrate the problem. What else could I have used? 😄
Using your method would have sped up my working but I would still have to make allowances for that Flip.
I had the basic grasp of maths from Secondary School in the 60’s drilled into me but if I had known the real life practical uses described instead of just the function then I would have been inspired to take a more advanced mathematical career. It is still nice to relearn and catch up on my missing maths knowledge now that I am retired and have a lot of time to fill.
PS, I use the Scottish maths plural as we don’t have a single mathematic over here. 😉