If C-12.5 cm, 80°], ie., the magnitude and direction of C are 2.5 an D -[35 cm,

Question

If C-12.5 cm, 80°], ie., the magnitude and direction of C are 2.5 an D -[35 cm, 120°1, and E-D-2, what is the direction of E (to the nearest degree)? a. 247 b. 235 c. 243 d. 216 e. 144 9, d 80' 11. A vector A is added to B-6i-8j. The resultant vector is in the positive x direction and has a magnitude equal to A. What is the magnitude of A? b. 5.1 c. 7.1 d. 8.3 e. 12.2 13. If two collinear vectors A and B are added, the resultant has a magnitude equal to 4.0. If B is subtracted from À, the resultant has a magnitude equal to 8.0 What is the magnitude of B? a. 2.0 b. 3.0 d. 5.0 e. 6.0 15. When vector A is added to vector B, which has a magnitude of 5.0, the vector representing their sum is perpendicular to A and has a magnitude that is twice that of A. What is the magnitude of A? a. 2.2 b. 2.5 c. 4.5 d. 5.0 e. 7.0 Starting from one oasis, a camel walks 25 km in a direction 30° south of west and then walks 30 km toward the north to a second oasis. What is the direction from the first oasis to the second oasis? 17. a. 21° N of W b. 39o W of N c. 69° N of W d. 51° W of N e. 42° W of N

Explanation / Answer

here,

9)

C = 25 cm * ( cos(80) i + sin(80)j)

C = 0.434 i + 2.46 j cm

D = 3.5 * ( cos(120) i + sin(120) j)

D = - 1.75 cm i + 3.03 cm j

E = D - 2C

E = - 2.618 i cm - 1.89 cm j

theta = arctan(1.89/2.618) = 216 degree

the direction is d)216 degree from +x axis

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