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azolotor
 3 years ago
The median of a triangle is a vector from a vertex to the midpoint of the opposite side.
Show the sum of the medians of a triangle = 0.
Answer: The median of side AB is the vector from vertex C to the midpoint of AB. Label
this midpoint as P. As usual we write P for the origin vector
−−→
OP.
−−→
CP =
1
2
(A + B)
1
The midpoint P = ⇒ (B + A) − C.
2
Likewise:
−−→
BQ = (A + C) − B and
−−→
AR =
1
2
1
2
(B + C)
azolotor
 3 years ago
The median of a triangle is a vector from a vertex to the midpoint of the opposite side. Show the sum of the medians of a triangle = 0. Answer: The median of side AB is the vector from vertex C to the midpoint of AB. Label this midpoint as P. As usual we write P for the origin vector −−→ OP. −−→ CP = 1 2 (A + B) 1 The midpoint P = ⇒ (B + A) − C. 2 Likewise: −−→ BQ = (A + C) − B and −−→ AR = 1 2 1 2 (B + C)

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azolotor
 3 years ago
Best ResponseYou've already chosen the best response.0Why is it c and not +c?

azolotor
 3 years ago
Best ResponseYou've already chosen the best response.0Geometrically I do not see what is happening when we subtract that
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