Express the vector below in Cartesian coordinate:B = 2r sin cospar+r cose cose aer sind aax= [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)}-ax= [2x² / √(x² + y² + z²)] + {xz / [(x² + y²) * √(x² + y² + z²)]} + {[y² * √(x² + y² + z²)] / (x² + y²)}a₂ = x²² / √(x² + y² + z²)azay = [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)}

Given: The vector, B=2rsinθcosφar+rcosθcosφaθ-rsinφaφ To express: The given vector in cartesian…

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)}

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 31E

See similar textbooks