particles in plane polar coordinates(adsbygoogle = window.adsbygoogle || []).push({});

r=rcosθ i + rsinθ k

F= F_{er}+ F_{eθ}

∂r/∂r =|∂r/∂r|_{er}= (cos^{2}θ + sin^{2}θ)½_{er}=er

why

∂r/∂θ =|∂r/∂θ|_{eθ}= (r^{2}cos^{2}θ + r^{2}sin^{2}θ)½_{eθ}= r_{eθ}

I understand that ∂r/∂θ = -rsinθ + rcosθ butwhy∂r/∂θ = (r^{2}cos^{2}θ + r^{2}sin^{2}θ)½_{eθ}

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# I Question about vector calculus

Tags:

Have something to add?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**