à ở từ if a = 2.8i+ 5.7 j – 8.1k,=b = − 4.9î + 4.4ĵ + 3.8k, andWhat are (a) the x component, (b) the y component, and (c) the z component of 71.8î + 2.8ĵ + 4.6k . (d) Calculate the angle between and the positive z axis. (e) What isthe component of a along the direction of b? (f) What is the magnitude of the component of a perpendicular to the direction of bbut in the plane of a and b?=

Answered: Image /qna-images/answer/d4892b36-2679-4023-8571-6040f24840b3.jpg

b = − 4.9î+ 4.4ĵ+ 3.8k, and What are (a) the x component, (b) the y component, and (c) the z component of 7 = a - + if a = 2.8î+ 5.7) – 8.1k, 1.81 + 2.87 +4.6k. (d) Calculate the angle between 7 and the positive z axis. (e) What i= the component of a along the direction of b? (f) What is the magnitude of the component of a perpendicular to the direction of but in the plane of a and b? =

b = − 4.9î+ 4.4ĵ+ 3.8k, and What are (a) the x component, (b) the y component, and (c) the z component of 7 = a - + if a = 2.8î+ 5.7) – 8.1k, 1.81 + 2.87 +4.6k. (d) Calculate the angle between 7 and the positive z axis. (e) What i= the component of a along the direction of b? (f) What is the magnitude of the component of a perpendicular to the direction of but in the plane of a and b? =

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter6: Some Methods In The Calculus Of Variations

Section: Chapter Questions

Problem 6.16P

See similar textbooks

Similar questions

Show that when A+B=C then A2+B2+2ABcos , where is the angle between vectors A and B .
Find the scalar components of three-dimensional vectors G and H in the following figure and write the vectors in vector component form in terms of the unit vectors of the axes.
(a) For what values of the angle between two vectors is their scalar product positive? (b) For what values of is their scalar product negative?
4G li. 12:23 SDD1-4E7C-44C7-A86A-F33B0962698C.j → ... 8. Find the vector product of two vectors A = 50 and B| = 20, with an angle between them is 45°.
What are (a) the x component, (b) the y component, and (c) the z component of 7 = a - b + if à = 2.8î+ 5.7) – 8.12. b = -4.9î+ 4.4 +3.8k, and 7 = 1.8î + 2.8) + 4.6k. (d) Calculate the angle between and the positive z axis. (e) What is the component of a along the direction of b? (f) What is the magnitude of the component of a perpendicular to the direction of b but in the plane of a and 7? Just answer de f Answer of a=9.5, b=4.1, c=-7.3
Consider two vectors Ã = (1, – 3,0) and B = (0 ,0,7). Let C be their cross product: Č = Ã × В. a) Calculate the Cartesian components of C. b) What is the angle between vectors B and C?
Situation 3. For the points O, A, and B: (a) what is the cross product řoa x řOB: (b) determine a unit vector that is perpendicular to roa and foB; and (c) use the cross product to determine the length of the shortest line from point B to the straight line that passes through points O and A. B (4, 4, –4) m FOB "OA А (6, -2, 3) m
Problem 1: Let A = î - 2ĵ and B = 2î + ĵ. Compute A.B. Problem 2: Let A = î - 2ĵ and B = 2î + ĵ. Compute A. (A + B). 1 Problem 3: Using the dot product, compute the angle between vectors C and D. C = 2î + 3ĵ D = 3î - 5ĵ
rection: Calculate the following. (Three points each) 2. Sam has measured the end points of two poles, and wants to know the angle between them: 1. Calculate the dot product of vectors a and b: (11,5,8) A (3.60 m) a (4,8,2) az k 70.0 30.0 () ax y B (2.40 m) ay 3. Vector a has magnitude 3, vector b has magnitude 4 and the angle between a and b is 60°. What is the value of a. b.? 4. Vector a has magnitude 3v2, vector b has magnitude 5 and the angle between a and b is 135°. What is the value of a. b.? 5. What is the size of the angle between the vectors a = (2, 5, -1) and b = (-3, 2, 6)?
What angles does the I vector make with the z axis when 1 = 2?
2022, before 4: 06pm. Submit all assignments in my Assignment Box in the Division office. Question 1 oone Find the scalar and vector products of two vectors, (3î – 4j + 5k) and b = a = (2î + j - 3k). Question 2 Use the geometric definition of the cross product and the properties of the cross product to calculate the following: a) (k +j) × (k - i) b) (î + j) × î) × ĵ) c) (4î × (î + ĵ) Question 3 The following external forces are acting on a body: F1 = (10, 2,1)N at point P (4,0,0)cm , %3D F2 = (0,0,5)N at point P2 (1,-3,0)cm and
Problem 7: Two vectors in Cartesian coordinates have components A = (3, 2, 3) and B = (4, -1,7). What is the dot product of vector A with vector B? A B = | sin() cotan() atan() cosh() cos() asin() acotan() tanh() O Degrees tan() acos() sinh() cotanh() Radians П () 7 8 E ^^ 4 / 1 + * 5 2 0 BACKSPACE 963 HOME END DEL CLEAR