The Centroid of a Triangle Using Vectors

We show that the medians of a triangle are concurrent at the centroid using vectors. We find the vector representative of the centroid in terms of the vertices.

#MikeDabkowski, #ProfDabkowski, #mikethemathematician , #calc3

[cmdcs]

Hi Mike, I really like these geometric applications of vectors - it's not something you often see in a course like this 🙂

[rdinary_vewer]

Wow, this is such a beautiful proof using vectors!!!

[kkqufzn]

Thanks for the proof, I am an undergraduate mathematics student from Peru and I am just beginning. Could you explain to me what you mean when the expression 1/3(a+b+c) is symmetrical? Thank you very much :)

[barshapriyadarshinibeher-dijk]

Thank you for this video... it's really helpful for me

[yordangrigorov]

5:52 vectors a, b and c are not linearly independent. They lie in the same plane so at most 2 of them can be linearly independent. This is the part that I don't understand but the video flew over it too fast.

[ARN]

I have seen anyone proving this with vectors 😅..
Nice video actually tho!!