Express the vector below in Cartesian coordinate: B = 2r sin cosc a₁ + r cose cose aer sind a ax= [2x/√(x² + y² + z²)] + {xz / [(x² + y²) * √(x² + y² + z²)]} + {[y² * √(x² + y² + z²)]/(x² + y²)} ay = [xy²/√(x² + y² + z²)] + {[xyz²] / [(x² + y²) * √(x² + y² + z²)]} − {[xy * (x² + y² + z²)] / (x² + y²)} ax= [2x² /√(x² + y² + z²)] + {xz / [(x² + y²) * √(x² + y² + z²)]} + {[y² * √(x² + y² + z2²)]/(x² + y²)} a₂ = xz²/√(x² + y² + az ay = [xy / √(x² + y² + z²)] + {[xyz²] / [(x² + y²) * √(x² + y² + z²)]} − {[xy * √(x² + y² + z²)] / (x² + y²)} a₂ = (xz)/√(x² + y² + z²) z²) a₂ = (xz) / (x² + y² + z²) ax = [x² / √(x² + y² + z²)] + {xz / [(x² + y²) * √(x² + y² + z²)]} + {[y² * √(x² + y² + z²)] / (x + y)} ay = [2xy / √(x² + y² + z²)] + {[xyz²] / [(x² + y²) * √(x² + y² + z²)]}-{[xy * √(x² + y² + z²)]/(x² + y²)}
Express the vector below in Cartesian coordinate: B = 2r sin cosc a₁ + r cose cose aer sind a ax= [2x/√(x² + y² + z²)] + {xz / [(x² + y²) * √(x² + y² + z²)]} + {[y² * √(x² + y² + z²)]/(x² + y²)} ay = [xy²/√(x² + y² + z²)] + {[xyz²] / [(x² + y²) * √(x² + y² + z²)]} − {[xy * (x² + y² + z²)] / (x² + y²)} ax= [2x² /√(x² + y² + z²)] + {xz / [(x² + y²) * √(x² + y² + z²)]} + {[y² * √(x² + y² + z2²)]/(x² + y²)} a₂ = xz²/√(x² + y² + az ay = [xy / √(x² + y² + z²)] + {[xyz²] / [(x² + y²) * √(x² + y² + z²)]} − {[xy * √(x² + y² + z²)] / (x² + y²)} a₂ = (xz)/√(x² + y² + z²) z²) a₂ = (xz) / (x² + y² + z²) ax = [x² / √(x² + y² + z²)] + {xz / [(x² + y²) * √(x² + y² + z²)]} + {[y² * √(x² + y² + z²)] / (x + y)} ay = [2xy / √(x² + y² + z²)] + {[xyz²] / [(x² + y²) * √(x² + y² + z²)]}-{[xy * √(x² + y² + z²)]/(x² + y²)}
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Express the vector below in Cartesian coordinate:
B = 2r sin cospar+r cose cose aer sind a
ax= [2x/√(x² + y² + z²)] + {xz / [(x² + y²) * √(x².
• √(x² + y² + z²)]} + {[y² * √(x² + y² + z²)] / (x² + y²)}
ay = [xy² / √(x² + y² + z²)] + {[xyz²] / [(x² + y²) * √(x² + y² + z²)]} − {[xy * (x² + y² + z²)] / (x² + y²)}
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ax= [2x² / √(x² + y² + z²)] + {xz / [(x² + y²) * √(x² + y² + z²)]} + {[y² * √(x² + y² + z²)] / (x² + y²)}
a₂ = x²² / √(x² + y² + z²)
az
ay = [xy / √(x² + y² + z²)] + {[xyz²] / [(x² + y²) * √(x² + y² + z²)]} − {[xy * √(x² + y² + z²)] / (x² + y²)}
a₂ = (xz)/√(x² + y² + z²)
a₂ = (xz) / (x² + y² + z²)
ax= [x² / √(x² + y² + z²)] + {xz / [(x² + y²) * √(x² + y² + z²)]} + {[y² * √(x² + y² + z²)] / (x + y)}
ay = [2xy / √(x² + y² + z²)] + {[xyz²] / [(x² + y²) * √(x² + y² + z²)]} - {[xy * √(x² + y² + z²)] / (x² + y²)}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1174340-3d8a-4d2c-8ac2-b44f4e980292%2F14c7de86-d8a6-4403-bdf8-a27bf2939349%2Fc8vi1a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Express the vector below in Cartesian coordinate:
B = 2r sin cospar+r cose cose aer sind a
ax= [2x/√(x² + y² + z²)] + {xz / [(x² + y²) * √(x².
• √(x² + y² + z²)]} + {[y² * √(x² + y² + z²)] / (x² + y²)}
ay = [xy² / √(x² + y² + z²)] + {[xyz²] / [(x² + y²) * √(x² + y² + z²)]} − {[xy * (x² + y² + z²)] / (x² + y²)}
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ax= [2x² / √(x² + y² + z²)] + {xz / [(x² + y²) * √(x² + y² + z²)]} + {[y² * √(x² + y² + z²)] / (x² + y²)}
a₂ = x²² / √(x² + y² + z²)
az
ay = [xy / √(x² + y² + z²)] + {[xyz²] / [(x² + y²) * √(x² + y² + z²)]} − {[xy * √(x² + y² + z²)] / (x² + y²)}
a₂ = (xz)/√(x² + y² + z²)
a₂ = (xz) / (x² + y² + z²)
ax= [x² / √(x² + y² + z²)] + {xz / [(x² + y²) * √(x² + y² + z²)]} + {[y² * √(x² + y² + z²)] / (x + y)}
ay = [2xy / √(x² + y² + z²)] + {[xyz²] / [(x² + y²) * √(x² + y² + z²)]} - {[xy * √(x² + y² + z²)] / (x² + y²)}
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