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Answers: a) -3 b) 39 i +15 j +18k c) 4. What are the x and y components of the vector a, which lies in the xy plane 250 ° from the positive x axis and has magnitude 7.3 m? Answer: -2.50 m, -6.86 m 5. Ifà-b=2T and à +b = 4c, and ĉ = 3 î+4j then what are à and b? Answer: à = 9î + 12ĵ, b = 3î + 4ĵ 12 A north the second 6.0 ft.

Answers: a) -3 b) 39 i +15 j +18k c) 4. What are the x and y components of the vector a, which lies in the xy plane 250 ° from the positive x axis and has magnitude 7.3 m? Answer: -2.50 m, -6.86 m 5. Ifà-b=2T and à +b = 4c, and ĉ = 3 î+4j then what are à and b? Answer: à = 9î + 12ĵ, b = 3î + 4ĵ 12 A north the second 6.0 ft.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please solve 4 and 5. They are both a review question for my exam tomorrow morning

**Vector Mathematics Problems and Solutions** 1. **Displacement in the Northeast Direction** - You travel in a direction exactly northeast and walk a total of 3 km. How much farther east are you compared to where you began? How much farther north are you? - **Answers**: 2.12 km North, and 2.12 km East 2. **Magnitude and Direction of Vectors** - Given vectors **a** = 6 î + 5 ĵ and **b** = -9 î + 2 ĵ, find the magnitudes and directions of: - (a) **a** - (b) **b** - (c) **a** + **b** - (d) **a** - **b** - (e) **b** - **a** - What is the angle between **a** and **b** (recall the definition of the dot product)? - **Answers**: - a) 7.81, 39.8° - b) 9.22, 167.5° - c) 7.62, 113.2° - d) 15.3, 11.3° - e) 15.3, 191.3° - f) 128° 3. **Cross and Dot Products** - For the vectors **a** = 3 î + 3 ĵ - 9 k̂ and **b** = -2 î + 4 ĵ + k̂, find: - (a) a · b - (b) a × b - (c) (a + b) - b - **Answers**: - a) -3 - b) 39 î + 15 ĵ + 18 k̂ - c) 18 4. **Components of a Vector** - What are the x and y components of the vector **a**, which lies in the xy plane 250° from the positive x-axis and has magnitude 7.3 m? - **Answer**: -2.50 m, -6.86 m 5. **Solving Vector Equations** - If **a** - **b** = 2 c and **a** + **b**
Transcribed Image Text:**Vector Mathematics Problems and Solutions** 1. **Displacement in the Northeast Direction** - You travel in a direction exactly northeast and walk a total of 3 km. How much farther east are you compared to where you began? How much farther north are you? - **Answers**: 2.12 km North, and 2.12 km East 2. **Magnitude and Direction of Vectors** - Given vectors **a** = 6 î + 5 ĵ and **b** = -9 î + 2 ĵ, find the magnitudes and directions of: - (a) **a** - (b) **b** - (c) **a** + **b** - (d) **a** - **b** - (e) **b** - **a** - What is the angle between **a** and **b** (recall the definition of the dot product)? - **Answers**: - a) 7.81, 39.8° - b) 9.22, 167.5° - c) 7.62, 113.2° - d) 15.3, 11.3° - e) 15.3, 191.3° - f) 128° 3. **Cross and Dot Products** - For the vectors **a** = 3 î + 3 ĵ - 9 k̂ and **b** = -2 î + 4 ĵ + k̂, find: - (a) a · b - (b) a × b - (c) (a + b) - b - **Answers**: - a) -3 - b) 39 î + 15 ĵ + 18 k̂ - c) 18 4. **Components of a Vector** - What are the x and y components of the vector **a**, which lies in the xy plane 250° from the positive x-axis and has magnitude 7.3 m? - **Answer**: -2.50 m, -6.86 m 5. **Solving Vector Equations** - If **a** - **b** = 2 c and **a** + **b**
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