平面向量的加減法
Author: 藍邦偉  老師

向量的加法與減法

a+b

b

.

b'

a+b

.

-b

a+(-b)

b

a-b

.

 \vec{ a } 

 \vec{ b } 

 \vec{ a } + \vec{ b } 

 \vec{ b } 

 \vec{ b } 

 -\vec{ b } 

 \vec{ a } +(- \vec{ b } )

 \vec{ a } - \vec{ b } 

 \vec{ a } - \vec{ b } 

 \vec{ a }+ \vec{ b }  (平行四邊形法)

 \vec{ a }+ \vec{ b }  (三角形法)

Reset

K_1: (x(Corner[1]), 0)
K_2: (x(Corner[2]), 0)
A = (7.277902967367858, 1.5759977450715152)
B = (12.174149831819888, -5.316776967021147)
a = Vector(A, B)
C = (16.262278281750707, -5.079095080397262)
D = (20.540552240980634, -1.2761848944151035)
b = Vector(C, D)
u: a + b
v: a - b
w = Translate(u, A)
z = Translate(b, B)
c = false
d = Translate(b, A)
e = Translate(u, A)
D'_1: D - (x(C) - x(A), y(C) - y(A))
E: B + D'_1 - A
f = Segment(B, E)
g = Segment(D'_1, E)
h = false
D'' = Mirror(D'_1, A)
i = Vector(A, D'')
j = Translate(v, A)
l = Vector(A, D'_1)
m_1 = Translate(v, D'_1)
k = false
n_4 = Vector(C, B)
D'_2 = Translate(D, n_4)
A'_1 = Translate(A, d)
A' = Translate(A, j)
n = 0 (slider from 0 to 2, step 1)
m = 0 (slider from 0 to 3, step 1)
p = 0 (slider from 0 to 4, step 1)