 6.1: If A = 2i j k, B = 2i 3j + k, C = j + k, find (A B)C, A(B C), (A B)...
 6.2: Find the work done by the force B acting on an object which undergo...
 6.3: Find the total work done by forces A and B if the object undergoes ...
 6.4: Let O be the tail of B and let A be a force acting at the head of B...
 6.5: Let A and C be drawn from a common origin and let C rotate about A ...
 6.6: In 5, draw B with its tail at the head of A. If the figure is rotat...
 6.7: A force F = 2i 3j + k acts at the point (1, 5, 2). Find the torque ...
 6.8: A vector force with components (1, 2, 3) acts at the point (3, 2, 1...
 6.9: The force F = 2i j 5k acts at the point (5, 2, 1). Find the torque ...
 6.10: In Figure 3.5, let r be another vector from O to the line of F. Sho...
 6.11: Write out the twelve triple scalar products involving A, B, and C a...
 6.12: (a) Simplify (A B) 2 [(A B) B] A by using (3.9). (b) Prove Lagrange...
 6.13: Prove that the triple scalar product of (A B), (B C), and (C A), is...
 6.14: Prove the Jacobi identity:
 6.15: In the figure u1 is a unit vector in the direction of an incident r...
 6.16: In the discussion of Figure 3.8, we found for the angular momentum,...
 6.17: Expand the triple product for a = ( r) given in the discussion of F...
 6.18: Two moving charged particles exert forces on each other because eac...
 6.19: The force F = i + 3j + 2k acts at the point (1, 1, 1). (a) Find the...
 6.20: The force F = 2i 5k acts at the point (3, 1, 0). Find the torque of...
 6.21: Verify equation (6.8); that is, find f in spherical coordinates as ...
 6.22: V = (y + z)i + (x z)j + (x2 + y2 )k
 6.23: RR F n d where F = (y2 x2)i + (2xy y)j + 3zk and is the entire surf...
 6.24: RR r n d over the entire surface of the hemisphere x2 + y2 + z2 = 9...
 6.25: RR Vn d over the curved part of the hemisphere in 24, if V = curl(y...
 6.26: RR (curl V) n d over the entire surface of the cube in the first oc...
 6.27: 26, but integrate over the open surface obtained by leaving out the...
 6.28: H F dr around the circle x2 + y2 + 2x = 0, where F = yi xj
 6.29: H Vdr around the boundary of the square with vertices (1, 0), (0, 1...
 6.30: C (x2y)dx+ (x+y3 )dy, where C is the parallelogram with vertices at...
 6.31: R (y2 x2) dx + (2xy + 3)dy along the x axis from (0, 0) to (5, 0) a...
Solutions for Chapter 6: Vector Analysis
Full solutions for Mathematical Methods in the Physical Sciences  3rd Edition
ISBN: 9780471198260
Solutions for Chapter 6: Vector Analysis
Get Full SolutionsMathematical Methods in the Physical Sciences was written by and is associated to the ISBN: 9780471198260. Chapter 6: Vector Analysis includes 31 full stepbystep solutions. Since 31 problems in chapter 6: Vector Analysis have been answered, more than 16713 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Mathematical Methods in the Physical Sciences, edition: 3. This expansive textbook survival guide covers the following chapters and their solutions.

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