Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Solenoidal Vector Field
In Physics and Mathematics vector calculus attached to each point in a subset of space, there is an assignment of a vector in a field called a vector field.
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7. Determine the angle between the two vectors. a) A = <2,3,4> and B = < -1,4,-2 > b) A = -2î+ 3) + 5k and B = î+2ĵ- 2k 8. Determine if the two vectors are parallel, orthogonal, or neither. Show your proof a) A=<4,-2,7 > and B = -3i+j+ 2k b) V=î+4j-2k and W=-31-12j + 6k 9. Given A = 5î - 2j-2k and B = 4î+j-k, compute Proj¡B. 10. Convert the cylindrical coordinates (4,2,2) to rectangular coordinates. 11. Convert the rectangular coordinates (-1,3,5) to cylindrical coordinates. 12. Convert the spherical coordinates (3,,) to cylindrical coordinates.
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Transcribed Image Text:7. Determine the angle between the two vectors. a) A = <2,3,4> and B = < -1,4,-2 > b) A = -2î+ 3) + 5k and B = î+2ĵ- 2k 8. Determine if the two vectors are parallel, orthogonal, or neither. Show your proof a) A=<4,-2,7 > and B = -3i+j+ 2k b) V=î+4j-2k and W=-31-12j + 6k 9. Given A = 5î - 2j-2k and B = 4î+j-k, compute Proj¡B. 10. Convert the cylindrical coordinates (4,2,2) to rectangular coordinates. 11. Convert the rectangular coordinates (-1,3,5) to cylindrical coordinates. 12. Convert the spherical coordinates (3,,) to cylindrical coordinates.
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