Construction for Three Vectors with Sum Zero
Construction for Three Vectors with Sum Zero
On the sides of a triangle , construct three parallelograms , and . Then ++=0.
ABC
AEDB
BGFC
CHKA
DG
FH
KE
Proof: -+-+-=-+-+(-)=0.
BG
BD
CH
CF
AE
AK
BG
CF
CH
AK
AE
BD
You can move the vectors into a cyclic (sum-zero) configuration using the slider. Vertices can be moved with locators.