Vectores (Tarea)

Dados los vectores:

Encontrar:

a)

b)

c)

d)

e)

f)

g)

h) Mostrar gráficamente los vectores

i) Mostrar gráficamente los vectores la operación y su resultante.

j) Mostrar de manera aproximada el vector 5

k) Mostrar gráficamente la resultante de

Tools for Scientific Thinking, CSMT, Tufts U. T-1 Modeling Vector Evaluation 10/98 vs 8 ©1997-98 R. K. Thornton

NAME_________________________ CLASS_____________SCHOOL__________

TOOLS FOR SCIENTIFIC THINKING: VECTOR EVALUATION

Directions: Answer questions in the spaces on the answer sheet.

The following questions are about the two vectors a and b shown below. (Just as they appear to be the vectors are in the plane (on the surface) of the page.) The vectors a and b have the same magnitude.

a b

Choose the one anwer from the 11 choices A through K below that best answers the question. You may use a choice more than once or not at all but choose only one answer for each blank. If you think that none is correct, answer choice N.

A B C D E

HG

F

I J

K. The result is 0. N. None of the choices are correct.

1. The two vectors a and b are added using vector addition. Which choice best represents the vector sum a + b?

2. The two vectors a and b are subtracted using vector subtraction. Which choice best represents the vector difference a - b?

3. The two vectors b and a are subtracted using vector subtraction. Which choice best represents the vector difference b - a?

4. Which choice best represents the sum of vector a with itself a+a?

4a. Show how three non-zero vectors can add up to be zero. Draw an example.

Tools for Scientific Thinking, CSMT, Tufts U. T-2 Modeling Vector Evaluation 10/98 vs 8 ©1997-98 R. K. Thornton

Using the coordinate axis shown below (x and y coordinates), answer the questions about the vectors shown. Assume that the vector components are vectors along the appropriate axis. Choose as many vectors a through e that meet the conditions of the question.

y

x-x

-y

a

b

d

c

e

5. Which vector(s) has(have) a non-zero x component?

6. Which vector(s) has(have) an x component pointing in the negative x-coordinate direction?

7. Which vector(s) has(have) a zero y component?

8. Which vector(s) has(have) a non-zero y component?

9. Which vector(s) has(have) a y component pointing in positive y-coordinate direction?

10. Which vector(s) has(have) a zero x component?

11. Which vector has the greatest magnitude?

12. Draw a vector on the axis above that has equal x and y components with the x component in the positive x direction and the y component in the negative y direction.