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![PRACTICE EXERCISE 1.1
Given vectors A = a, + 3a, andB = 5a, + 2a,- 6a, determine
(a) A + B|
(b) 5A- B
%3D
(c) The component of A along a,
(d) A unit vector parallel to 3A +B
Answer: (a) 7, (b) (0, -2, 21), (c) 0, (d) ±(0.9117, 0.2279, 0.3419).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc0b3860-6087-434a-a863-ff5c3bd050de%2F5ab30a3c-8bc7-41c7-b7f3-065271ca4f58%2Fmeeujy_processed.jpeg&w=3840&q=75)
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- Constants Part A Consider three vectors A,B and C all lying in the r y plane. Vector A has length 6.3 and makes an angle of 131 degrees with the T-axis. Vector B has length 6.9 and makes an angle of 32 degrees with the -axis The vector D- A+ B+ C has r-component Dx 3.4 and y-component Dy 6.4 Find the magnitude of the vector C Express your answer to 2 significant figures. Submit Request Answer Part B Find the angle in degrees that vector C makes measured counterclockwise from the c-axis. Express your answer the nearest degree.Part C For the vectors shown in the figure, determine (Eigure 1) the magnitude of 2A – 3B+ 20 Express your answer using three significant figures. |2Ä – 3B + 20| = !! units Submit Request Answer Figure < 1 of 1 Part D the direction of 2.4 – 3B + 2Ő A (A = 44.0) 28.0 Express your answer using three significant figures. 56.09 Č(C= 31.0) below +x aIS Submit Request Answer P Pearson B (B = 26.5)Part A The summit of a mountain, 2520 m above base camp, is measured on a map to be 4160 m horizontally from the camp in a direction 39.3 ° west of north. What are the components of the displacement vector from camp to summit? Choose the x axis east, y axis north, and z axis up. Enter the x, y, and z components of the displacement vector using three significant figures separated by commas. ΑΣφ. ? de, dy, dz = 2634, – 3219,2520 m Submit Previous Answers Request Answer * Incorrect; Try Again; 3 attempts remaining Term 2: Check your signs. Part B What is its magnitude? Express your answer using three significant figures and include the appropriate units. d = 5194 m Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining
- Three vectors 13 of 15 Review | Constants Part A Consider three vectors A,B and C all lying in the y plane. Vector A has length 6.7 and makes an Find the magnitude of the vector C angle of 131 degrees with the x-axis. Vector B has length 6.9 and makes an angle of 32 degrees with Express your answer to 2 significant figures. A+B component Dx = 3.2 and y-component Dy 6.7. C has x- the -axis. The vector D ΑΣφ Request Answer Submit Part B Find the angle in degrees that vector C makes measured counterclockwise from the x-axis. Express your answer the nearest degree. Α Φ PearsonItem 15 Review Part A Let vectors A (2,1, 4). B (3,0,1). and C Calculate the following: (-1,-1,2) View Available Hintis) A.B Subni Part B What is the angle 0An behween A and B? Express your answer using one significant figure View Available Hint(s) radians SubrnitConstants Part A Let vectors A- (2,1,-4), B C (-1, -1,2) Calculate the following (-3,0,1), and View Available Hint(s) A B- Submit Part B What is the angle θΑΒ between A and B? View Available Hint(s) ΑΣ radians Submit
- Description A. Convert the following vector from Polar Form to Rectangular Form 1. X = 765 lb, 0 = -456° 2. Y 1500 N, 0 = 420° B. Convert the following vector from Rectangular Form to Polar Form 1. F = (765i – 150j) N 2. V = (65i — 85 ) Іb Note: 1. Follow the prescribe format given for submission. 2. Make it sure that your submission is presentable and complete with FBD.Exercise 5: Consider the displacement vector à = (31 +3ĵ) m, B = (Î – 5ĵ) m, and C = (-1 + 4ĵ) m. Use the component method to determine: (a) D = A + B-C (b) The magnitude and direction of D (c) Find D C and the angle between D and C.Exercises 16-18: Draw and label the vector with these components. Then determine the magnitude of the vector. 16. A, = 3, A, =-2 17. B, =-2, B, = 2 18. C, = 0, C, = -2 y 24 3 21 -1 3 -3 -2 3 -3 -2 --1 -1 -1 -2 -24 B = C = A3D
- Part A The magnitude of a component of a vector must be O less than or equal to the magnitude of the vector. O equal to the magnitude of the vector. O greater than or equal to the magnitude of the vector. O less than, equal to, or greater than the magnitude of the vector. Submit Request Answerlaptive Practice: Chapter 1B 1.8 Addition of Vectors by Means of Components Vector A has magnitude 150.0 mm along the x-axis. Vector B has magnitude of B at an angle of 115° relative to the x-axis. Vector Č has magnitude of Cand is at an angle of 223° relative to the x-axis. The three vectors add up to zero, i.e., Á +B + Ć = 0.What is the magnitude of vector B ? O 135 mm O 108 mm O 143 mm O 97.0 mm O 115 mm Save for Later Submit AnswerSolveA•B whenA=3i+6j–k,B=8i– 3j-k. I Solve the angle 0 between vectors A and B when A = 2i – 3j + 3k, B = i+ 2j + k. ! Vector A has a magnitude of 5.00 units while vector B has a magnitude of 9.00 units at an angle of 45.0° with each other. SolveA•B. I A force F = (5i – 3j) N acts on a particle that undergoes a displacement d= (2i + j) m. Solve (a) the work done by the force on the particle and (b) the angle between Fand d.
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