Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2016-09-28 08:08:31

mathattack
Member
Registered: 2016-03-07
Posts: 17

Vector Geometry Proof

Hello! 

I've been working out the following question with vectors, but am having a little bit of problems with two things:

1. deriving the position vector of the various centroids
2. deriving the line through the centroid perpendicular to the other side.

Any help would be great!


Pentagon ABCDE is inscribed in a circle. For any edge of ABCDE, we can draw the line perpendicular to that edge that contains the centroid of the remaining three vertices. Show that these 5 lines are concurrent.

Offline

#2 2016-09-28 19:48:25

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Vector Geometry Proof

Done!

Last edited by thickhead (2016-09-28 23:40:05)


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

Offline

#3 2016-09-30 18:05:08

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Vector Geometry Proof

Hi Mathattack,
Is it O.K.?


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

Offline

#4 2016-10-18 17:48:20

mathattack
Member
Registered: 2016-03-07
Posts: 17

Re: Vector Geometry Proof

Hi Thickhead,

Sorry for the slow response.  Your response was awesome and super helpful!  Thank you so much smile

Offline

Board footer

Powered by FluxBB