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EXAMEN VECTORIAL N°1

Authored by JOSE DEL CARMEN ARECHIGA MARAVILLAS

Mathematics

University

Used 7+ times

EXAMEN VECTORIAL  N°1
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10 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 2 pts

Calcula las componentes del segmento dirigido AB→\overrightarrow{AB} , donde A=(4,8)   y   B=(7,3)A=\left(4,8\right)\ \ \ y\ \ \ B=\left(7,3\right)

〈3,-5〉

〈-3,-5〉

〈3,5〉

〈3,-4〉

2.

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

Calcula el valor de la norma (longitud) , del vector <2,7><2,7>

53\sqrt{53}

50\sqrt[]{50}

11\sqrt[]{11}

45\sqrt[]{45}

3.

MULTIPLE CHOICE QUESTION

2 mins • 2 pts

Calcula las componentes del segmento dirigido PQ→\overrightarrow{PQ} , donde P=(5,1,8)  y  Q=(9,4,7)P=\left(5,1,8\right)\ \ y\ \ Q=\left(9,4,7\right)

<4,3,1><4,3,1>

<4,3,−1><4,3,-1>

<4,−3,−1><4,-3,-1>

<−4,3,−1><-4,3,-1>

4.

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

Calcular el valor de la norma (longitud) del vector V=<−4,2,−3>V=<-4,2,-3>

27\sqrt[]{27}

28\sqrt[]{28}

32\sqrt[]{32}

29\sqrt[]{29}

5.

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

Media Image

Calcular la dirección del vector u=<4,9>u=<4,9> , redondear a dos decimales

θ=58.35°\theta=58.35°

θ=66.04°\theta=66.04°

θ=62.32°\theta=62.32°

θ=60.92°\theta=60.92°

6.

MULTIPLE CHOICE QUESTION

3 mins • 6 pts

Media Image

Calcular la dirección del vector w=<−3,5,4>w=<-3,5,4> de los resultados a dos decimales

θ=120.96°   y   ϕ=55.55°\theta=120.96°\ \ \ y\ \ \ \phi=55.55°

θ=120.92°   y   ϕ=55.35°\theta=120.92°\ \ \ y\ \ \ \phi=55.35°

θ=120.16°   y   ϕ=54.55°\theta=120.16°\ \ \ y\ \ \ \phi=54.55°

θ=118.94°   y   ϕ=52.56°\theta=118.94°\ \ \ y\ \ \ \phi=52.56°

7.

MULTIPLE CHOICE QUESTION

3 mins • 5 pts

Calcular los ángulos de los cosenos directores del vector a=<−5,3,4>a=<-5,3,4> redondear a dos decimales

α=134°      β=64.93°   γ=55.58°\alpha=134°\ \ \ \ \ \ \beta=64.93°\ \ \ \gamma=55.58°

α=135°      β=64.82°   γ=56.35°\alpha=135°\ \ \ \ \ \ \beta=64.82°\ \ \ \gamma=56.35°

α=135°      β=62.90°   γ=50.58°\alpha=135°\ \ \ \ \ \ \beta=62.90°\ \ \ \gamma=50.58°

α=135°      β=64.90°   γ=55.55°\alpha=135°\ \ \ \ \ \ \beta=64.90°\ \ \ \gamma=55.55°

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