maths - vectors 20pts

2010-11-04 1:51 pm
given 3 unit vectors a,b and c
a+b+c=0
Question is to find a.b+b.c+c.a

(a.b is the scalar/dot product)
pls help
thx

回答 (1)

2010-11-04 4:57 pm
✔ 最佳答案
(a + b + c) = 0

(a + b + c) . (a + b + c) = |a + b + c|2 = 0

a.a + b.b + c.c + 2(a.b + b.c + c.a) = 0

a.b + b.c + c.a = - (|a2 + |b|2 + | c|2)/2
參考: Myself


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