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1. A vector is: a quantity whose magnitude can be completely specified by a number b. a quantity that represents magnitude only C. a mathematical quantity with magnitude and direction d. a quantity that represents a direction only 2. A plane flies west at 300 km/h. Which of the following would represent an opposite vector? A plane flying south at 300 km/h b. A plane flying east at 200 km/h c. A plane flying north at 200 km/h d. A plane flying east at 300 km/h 1 3. AB is the vector from the point (1, 2) to the point (3, 4). Calculate the magnitude of AB. c. 2 a. √√√3+5 d. 8 b. 2√√/2

1. A vector is: a quantity whose magnitude can be completely specified by a number b. a quantity that represents magnitude only C. a mathematical quantity with magnitude and direction d. a quantity that represents a direction only 2. A plane flies west at 300 km/h. Which of the following would represent an opposite vector? A plane flying south at 300 km/h b. A plane flying east at 200 km/h c. A plane flying north at 200 km/h d. A plane flying east at 300 km/h 1 3. AB is the vector from the point (1, 2) to the point (3, 4). Calculate the magnitude of AB. c. 2 a. √√√3+5 d. 8 b. 2√√/2

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 40E
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1. A vector is: a quantity whose magnitude can be completely specified by a number b. a quantity that represents magnitude only a mathematical quantity with magnitude and direction a quantity that represents a direction only 2. A plane flies west at 300 km/h. Which of the following would represent an opposite vector? a. A plane flying south at 300 km/h b. A plane flying east at 200 km/h c. A plane flying north at 200 km/h d. A plane flying east at 300 km/h 3. AB is the vector from the point (1, 2) to the point (3, 4). Calculate the magnitude of AB. √√√3+5 C. 2 b. 2.√√/2 4. Vector C represents: C A+B 6. A and B form a right angle. If A If A TATO b. 5. A sailboat is headed west at 200 km/h and is met with a wind heading north at 50 km/h. What is the resultant velocity? 15.81 km/h b. 42 500 km/h c. C +B a. 4.24 b. 20.78 c. 250 km/h d. 206.16 km/h = 5 and B-4, what is 3A + B? 9.54 b. 15.52 7. A force vector has a magnitude of 14 N and makes an angle of 20° with the x-axis. What is the magnitude of its horizontal component? 13.16 N c. 4.36 d. 19.21 14.00 N d. 14.90 N b. 4.79 N 8. Two forces of 3N and 8N act on an object at an angle of 30° to each other. What is the dot product of these force vectors? 12.00 d. 24.00 9. Given that the vectors a = (6, -2, 2s) and b = (-1, s + 1, 2) are perpendicular, what is the value of s? b. -1 10. Suppose 4 = (4, -6, 10) and b = (-6, 9, -15). What is a x b ? a. (-24, -54,-150) c. (1,-1,-1) b. (0,0,0) d. (-3,-2, 0)
Transcribed Image Text:1. A vector is: a quantity whose magnitude can be completely specified by a number b. a quantity that represents magnitude only a mathematical quantity with magnitude and direction a quantity that represents a direction only 2. A plane flies west at 300 km/h. Which of the following would represent an opposite vector? a. A plane flying south at 300 km/h b. A plane flying east at 200 km/h c. A plane flying north at 200 km/h d. A plane flying east at 300 km/h 3. AB is the vector from the point (1, 2) to the point (3, 4). Calculate the magnitude of AB. √√√3+5 C. 2 b. 2.√√/2 4. Vector C represents: C A+B 6. A and B form a right angle. If A If A TATO b. 5. A sailboat is headed west at 200 km/h and is met with a wind heading north at 50 km/h. What is the resultant velocity? 15.81 km/h b. 42 500 km/h c. C +B a. 4.24 b. 20.78 c. 250 km/h d. 206.16 km/h = 5 and B-4, what is 3A + B? 9.54 b. 15.52 7. A force vector has a magnitude of 14 N and makes an angle of 20° with the x-axis. What is the magnitude of its horizontal component? 13.16 N c. 4.36 d. 19.21 14.00 N d. 14.90 N b. 4.79 N 8. Two forces of 3N and 8N act on an object at an angle of 30° to each other. What is the dot product of these force vectors? 12.00 d. 24.00 9. Given that the vectors a = (6, -2, 2s) and b = (-1, s + 1, 2) are perpendicular, what is the value of s? b. -1 10. Suppose 4 = (4, -6, 10) and b = (-6, 9, -15). What is a x b ? a. (-24, -54,-150) c. (1,-1,-1) b. (0,0,0) d. (-3,-2, 0)
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