Chp 8 Workbook

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NAME DATE PERIOD 8-7 Study Guide and Intervention (continued) Vectors Vectors on the Coordinate Plane A vector in standard position has its initial point at (0, 0) and can be represented by the ordered pair for point B. The vector at the right can be expressed as v = 〈5, 3〉. You can use the Distance Formula to find the magnitude | AB ⎺⎺⎺⎺ | of a vector. You can describe the direction of a vector by measuring the angle that the vector forms with the positive x-axis or with any other horizontal line. y (0, 0) (5, 3) x Example Find the magnitude and direction of a = 〈3, 5〉. Find the magnitude. a = √ (x 2 - x 1 ) 2 + (y 2 - y 1 ) 2 = √ (3 - 0) 2 + (5 - 0) 2 = √ 34 or about 5.8 Distance Formula (x 1 , y 1 ) = (0, 0) and (x 2 , y 2 ) = (3, 5) Simplify. y (3, 5) To find the direction, use the tangent ratio. tan θ = − 5 3 m∠θ ≈ 59.0 The tangent ratio is opposite over adjacent. Use a calculator. x The magnitude of the vector is about 5.8 units and its direction is 59°. Exercises Find the magnitude and direction of each vector. 1. b = 〈-5, 2〉 3. d = 〈3, 4〉 5. r = 〈-3, -4〉 2. c = 〈-2, 1〉 4. m = 〈5, -1〉 6. v = 〈-4, 1〉 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 44 Glencoe Geometry
NAME DATE PERIOD 8-7 Skills Practice Vectors Use a ruler and a protractor to draw each vector. Include a scale on each diagram. 1. a = 20 meters per second 2. b = 10 pound of force at 60° west of south 135° to the horizontal 1 cm : 5 m N W a 60° E b 135° S Copy the vectors to find each sum or difference. 1 in : 10 lb Lesson 8-7 3. a + z 4. t - r a z r t Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Write the component form of each vector. 5. 6. O Find the magnitude and direction of each vector. 7. m = 〈2, 12〉 9. k = 〈-8, -3〉 y E(4, 3) C(1, –1) x B(–2, 2) 8. p = 〈3, 10〉 10. f = 〈-5, 11〉 Find each of the following for a = 〈2, 4〉, b = 〈3, -3〉 , and c = 〈4, -1〉. Check your answers graphically. O y D(3, –3) x Overmatter Chapter 8 45 Glencoe Geometry
Page 1 and 2: Chapter 8 Resource Masters
Page 3 and 4: Contents Copyright © Glencoe/McGra
Page 5: Copyright © Glencoe/McGraw-Hill, a
Page 8 and 9: NAME DATE PERIOD 8 Student-Built Gl
Page 10 and 11: NOMBRE FECHA PERÍODO 8 Ejercicios
Page 12 and 13: NAME DATE PERIOD 8-1 Study Guide an
Page 14 and 15: NAME DATE PERIOD 8-1 Practice Geome
Page 16 and 17: NAME DATE PERIOD 8-1 Enrichment Mat
Page 20 and 21: NAME DATE PERIOD 8-2 Practice Find
Page 22 and 23: NAME DATE PERIOD 8-2 Enrichment Con
Page 26 and 27: NAME DATE PERIOD 8-3 Skills Practic
Page 28 and 29: NAME DATE PERIOD 8-3 Word Problem P
Page 30 and 31: NAME DATE PERIOD 8-4 Trigonometric
Page 48 and 49: NAME DATE PERIOD 8-6 Graphing Calcu
Page 52 and 53: NAME DATE PERIOD 8-7 Practice Vecto
Page 54 and 55: NAME DATE PERIOD 8-7 Enrichment Dot
Page 56 and 57: NAME DATE PERIOD 8 Rubric for Scori
Page 58 and 59: NAME DATE PERIOD 8 Chapter 8 Quiz 3
Page 60 and 61: NAME DATE PERIOD 8 Chapter 8 Vocabu
Page 62 and 63: NAME DATE PERIOD 8 Chapter 8 Test,
Page 74 and 75: NAME DATE PERIOD 8 Standardized Tes
Page 76 and 77: NAME DATE PERIOD 8 Standardized Tes
Page 78 and 79: Copyright © Glencoe/McGraw-Hill, a
Page 86 and 87: Answers (Lesson 8-3) Copyright © G
Page 96 and 97: Answers (Lesson 8-6 and Lesson 8-7)
Page 101 and 102:
Chapter 8 Assessment Answer Key Qui
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Chapter 8 Assessment Answer Key For
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Chapter 8 Assessment Answer Key For
Page 107 and 108:
Chapter 8 Assessment Answer Key Ext
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Chapter 8 Assessment Answer Key Sta
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