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FACULTAD DE INGENIERIA QUIMICA Y
AGROINDUSTRIADEPARTAMENTO DE
INGENIERIA QUIMICA
TAREA: Física y
vectores
ESTUDIANTE: VERÓNICA TATIANA GARCÍA
1. Escribir verdadero (V) o falso (F) según corresponda. Justifique su respuesta en su hoja de
trabajo:(vale 1 pto)
a) La velocidad y el desplazamiento son magnitudes escalares ( )
b) El producto escalar de un vector por sí mismo es cero (FALSO)
JUSTIFICACIÓN: Cualquier número multiplicado por sí mismo nunca es cero, a menos que ese
número sea cero.
2. Determinar los vectores unitarios de los siguientes vectores: (vale 1pto)
a)
b)
c)
SOLUCIÓN:
3. Expresar el vector: (vale 1,50 ptos)
a) Coordenadas geográficas
b) Coordenadas polares
c) Coordenadas rectangulares
d) Función de los vectores base
SOLUCIÓN:
4. Si el ángulo director de un vector es 125˚ y su componente en el eje X es -37 cm; determinar: (vale 2
ptos)
a) La componente en el eje Y
b) El ángulo director β
c) El módulo del vector K
d) El vector unitario
e) El vector en función de los vectores base
f) El punto extremo del vector
SOLUCIÓN:
5. Una ciudad está delimitada por las rectas que unen los vértices: P(4,5) km, Q(0,4)km, R(1,1)km,
S(5,2)km,determinar: (vale 2 ptos)
a) La forma geométrica de la ciudad
b) El área de la ciudad
c) La posición relativa del punto R respecto del punto P
d) La posición relativa del punto S respecto del punto R
SOLUCIÓN:
6. La cumbre de la montaña A está a 3 km del suelo y la cumbre de la montaña B a 2 km del
suelo. Si lasmontañas se unen como indica el siguiente gráfico: (vale 2,5 ptos)
Determinar:
a) La posición relativa de la cumbre de la montaña B respecto a la cumbre de la montaña A
b) La longitud del cable para instalar un teleférico de la cumbre de la montaña A a la cumbre de la
montaña B
SOLUCION:
𝑌
tan 𝜃 =
𝑋
𝑌
𝑋
= tan 𝜃
𝑌
𝑋 =
𝑋 =
𝑋 =
tan 𝜃
3 𝐾𝑚 tan
60°
3 𝐾𝑚
1.73
𝑋 = 1.73 𝐾𝑚
𝑌
tan 𝜃 =
𝑋
𝑌
𝑋
= tan 𝜃
𝑌
𝐴
→ = ( −1.73 + 3) 𝐾𝑚
𝑋 =
𝑋 =
𝑋 =
tan 𝜃
2 𝐾𝑚 tan
40°
2 𝐾𝑚
𝑂. 83
X= 2,38 Km B→ = (2.38 + 2) 𝐾𝑚
Tarea unidad 1 veronica garcía
Tarea unidad 1 veronica garcía
Tarea unidad 1 veronica garcía

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Tarea unidad 1 veronica garcía

  • 1. FACULTAD DE INGENIERIA QUIMICA Y AGROINDUSTRIADEPARTAMENTO DE INGENIERIA QUIMICA TAREA: Física y vectores ESTUDIANTE: VERÓNICA TATIANA GARCÍA 1. Escribir verdadero (V) o falso (F) según corresponda. Justifique su respuesta en su hoja de trabajo:(vale 1 pto) a) La velocidad y el desplazamiento son magnitudes escalares ( ) b) El producto escalar de un vector por sí mismo es cero (FALSO) JUSTIFICACIÓN: Cualquier número multiplicado por sí mismo nunca es cero, a menos que ese número sea cero. 2. Determinar los vectores unitarios de los siguientes vectores: (vale 1pto) a) b) c) SOLUCIÓN:
  • 2.
  • 3. 3. Expresar el vector: (vale 1,50 ptos) a) Coordenadas geográficas b) Coordenadas polares c) Coordenadas rectangulares d) Función de los vectores base SOLUCIÓN: 4. Si el ángulo director de un vector es 125˚ y su componente en el eje X es -37 cm; determinar: (vale 2 ptos) a) La componente en el eje Y b) El ángulo director β c) El módulo del vector K d) El vector unitario e) El vector en función de los vectores base f) El punto extremo del vector
  • 5. 5. Una ciudad está delimitada por las rectas que unen los vértices: P(4,5) km, Q(0,4)km, R(1,1)km, S(5,2)km,determinar: (vale 2 ptos) a) La forma geométrica de la ciudad b) El área de la ciudad c) La posición relativa del punto R respecto del punto P d) La posición relativa del punto S respecto del punto R SOLUCIÓN:
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  • 7. 6. La cumbre de la montaña A está a 3 km del suelo y la cumbre de la montaña B a 2 km del suelo. Si lasmontañas se unen como indica el siguiente gráfico: (vale 2,5 ptos) Determinar: a) La posición relativa de la cumbre de la montaña B respecto a la cumbre de la montaña A b) La longitud del cable para instalar un teleférico de la cumbre de la montaña A a la cumbre de la montaña B SOLUCION: 𝑌 tan 𝜃 = 𝑋 𝑌 𝑋 = tan 𝜃 𝑌 𝑋 = 𝑋 = 𝑋 = tan 𝜃 3 𝐾𝑚 tan 60° 3 𝐾𝑚 1.73 𝑋 = 1.73 𝐾𝑚 𝑌 tan 𝜃 = 𝑋 𝑌 𝑋 = tan 𝜃 𝑌 𝐴 → = ( −1.73 + 3) 𝐾𝑚 𝑋 = 𝑋 = 𝑋 = tan 𝜃 2 𝐾𝑚 tan 40° 2 𝐾𝑚 𝑂. 83 X= 2,38 Km B→ = (2.38 + 2) 𝐾𝑚