10 questions

18 minutes

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1. Two vectors, A and B, have the same magnitude, m, but vector A points north whereas vector B points east. What is the sum, A + B ?

2. If F_{1}= -20ĵ, F_{2}= -10î, and F_{3} = 5î + 10ĵ, what is the sum F_{1} + F_{2} + F_{3} ?

3. Both the x- and y-components of a vector are doubled. Which of the following describes what happens to the resulting vector?

4. If vectors north and south, what is ?

5. The magnitude of vector A is 10. Which of the following could be the components of A ?

6. If the vector A = î - 2ĵ and the vector B = 4î - 5ĵ, what angle does A + B form with the x-axis?

7. An object travels along the vector d_{1} = 4m î + 5m ĵ and then along the vector d_{2} = 2m î - 3m ĵ. How far is the object from where it started?

8. If A = and B = , which of the following best represents the direction of A - B ?

9. The x-component of vector A is -42, and the angle it makes with the positive x-direction is 130°. What is the y-component of vector A ?

10. If two non-zero vectors are added together, and the resultant vector is zero, what must be true of the two vectors?