\overrightarrow{u}

\overrightarrow{v}

OAA'

AA'B'B

Déterminant

\overrightarrow{u}(x;y) \quad \overrightarrow{v}(x';y') 

AA'B'B

Plg

b = 10 (slider from a to 10, step 0.1)
a = 4.64761949497831 (slider from 2.21 to 6.63, step 0.01)
O = Intersect(xAxis, yAxis)
A: (a, 2)
u = Vector(O, A)
B: (6.63, 6)
v = Vector(O, B)
A': (a, 0)
f = Segment(A, A')
B': (6.63, 0)
g = Segment(B, B')
h = Segment(A, B)
t1, b_3, o, a_4 = Polygon(O, A, B)
t2, a_1, o_1, a' = Polygon(O, A', A)
q1, i, b', b_1, a_2 = Polygon(A', B', B, A)
c = false
d: ((a * 6) - (6.63 * 2)) / 2
e = false
C = Translate(B, u)
q2, o_2, b_2, b'_1, a_3 = Polygon(O, B, C, A)
I = Point(xAxis)
J = Point(yAxis)
k = false
Pointt1_1 = PointIn(t1)
Pointt1 = PointIn(t1)
texte3: "$\text{Aire}(OAB)=\dfrac{xy'-x'y}{2}=" + (LaTeX[d]) + "
 "
j = false