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Vectores

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Introducción al conocimiento de los vectores

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Vectores

1. 1. PROFESOR: OMER ANTONIO RAMOS NEGRETE VECTORES INSTITUCIÓN EDUCATIVA SAN RAFAEL MUNICIPIO: SAN RAFAEL Correo: orane 6127@hotmail.com
2. 2. Suma de vectores (método del triángulo) A B A R R = A+ B B
3. 3. Suma de vectores (método del paralelogramo) A B A B A B R R = A+ B
4. 4. A B C Hallar: A + B + C + D A B C R Suma de vectores (método del polígono) Dados : D A B C D = A + B+ C+ D
5. 5. COMPONENTES RECTANGULARES DE UN VECTOR ө A Ax Ay Sen ө = Ay A Cos ө = Ax A Ay
6. 6. B = 5 u A = 3 u 30º50º Ax 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 = 5.36 R2 = 28.79 SUMA DE VECTORES POR COMPONENTES RECTANGULARES
7. 7. B = 5 u A = 3 u 30º50º Ax 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 = 5.36 R2 = 28.79 SUMA DE VECTORES POR COMPONENTES RECTANGULARES