66. If A = 2yz i - (x +3y -- 2)1 + (x² +z)k, evaluate (VxA) •n ds over the surface of intersection of thecylinders x2 +y² = a², x² +z² = a² which is included in the first octant.a?Ans. - 5(3 + 8a)

Given: A=2yzi-x+3y-2j+x2+zk, With the cylinder x2+y2=a2,x2+z2=a2 Now, calculating ∇×A.…

If A = 2yz i - (x +3y - 2)j + (x²+z)k, evaluate |(V×A) •n dS over the surface of intersection of the S cylinders x? +y2 = a², x² +z² = a² which is included in the first octant. a? 12(377 + 8a) Ans.

If A = 2yz i - (x +3y - 2)j + (x²+z)k, evaluate |(V×A) •n dS over the surface of intersection of the S cylinders x? +y2 = a², x² +z² = a² which is included in the first octant. a? 12(377 + 8a) Ans.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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Question

66. If A = 2yz i - (x +3y -- 2)1 + (x² +z)k, evaluate (VxA) •n ds over the surface of intersection of the
cylinders x2 +y² = a², x² +z² = a² which is included in the first octant.
a?
Ans. - 5(3 + 8a)

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