Álgebra Linear Unidade 4 -Vetores
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Transcript of Álgebra Linear Unidade 4 -Vetores
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AmintasAmintas
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PROFESOR: AMINTAS PAIVA AFONSO
VECTORES
UNIVERSIDAD DEL MAR
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Suma de vectores(método del triángulo)
A B
A
R R = A+ B
B
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Suma de vectores(método del paralelogramo)
A B
A
B
A
B
R R = A+ B
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A B C
Hallar: A + B + C + D
A B C
R
Suma de vectores(método del polígono)
Dados :
D
AB
C
D
= A + B+ C+ D
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COMPONENTES RECTANGULARES DE UN VECTOR
ө
A
Ax
Ay
Sen ө = Ay
A
Cos ө = Ax
A
Ay
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B = 5 u
A = 3 u
30º50ºAx
Ay
Bx
By
Ax = A Cos 30º Ay = A Sen 30º Bx = -B Cos 50º By = B Sen 50º
= (3 u)(0.86) = 2.58 u
= (3 u)(0.5) = 1.5 u= (5 u)(0.64) = - 3.21 u
= (5 u)(0.76) = 3.83 u
∑ Vx = Ax + Bx
∑ Vy = Ay + By
∑ Vx = (2.58 u)+ (-3.21 u)
∑ Vy = (1.5 u) + (3.83 u)
R2 = (∑ Vx)2
+ (∑ Vy)2
R2 = (-0.63)2 + (5.33)2
∑ Vx = - 0.63
∑ Vy = 5.33 u
R2 = 0.39 + 28.4
R = 5.36R2 = 28.79
SUMA DE VECTORES POR COMPONENTES RECTANGULARES
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