Dong Hoon Lee
- 4
- 0
The problem is
<< transform the following vectors to spherical coordinates at the points given
10ax at P (x = -3 , y = 2, z=4)>>
Actually, My first language isn't English, please understand that.
x y z can be chage into x = rsinθcosφ , y=rsinθsinφ , z=cosθ
ax vector can be expressed ar,aθ,aφ so, I can change x , y, z
therefore we have to find θ, φ, r
also, we can know the sinθcosφ = x/r sinθsinφ = y/r z=cosθ
10ax = 10ax ar + 10ax aθ + 10ax aφ
= 10sinθcosφ + 10cosθcosφ - 10sinφ
>>>> I can fill out innerproduct between x and r but how to solve the others,
Is it right answer? I want to find more correctly one (it make lots of number, because find each variables through lots of calculation)
>>>> I want to more objective soultion !
<< transform the following vectors to spherical coordinates at the points given
10ax at P (x = -3 , y = 2, z=4)>>
Actually, My first language isn't English, please understand that.
x y z can be chage into x = rsinθcosφ , y=rsinθsinφ , z=cosθ
ax vector can be expressed ar,aθ,aφ so, I can change x , y, z
therefore we have to find θ, φ, r
also, we can know the sinθcosφ = x/r sinθsinφ = y/r z=cosθ
10ax = 10ax ar + 10ax aθ + 10ax aφ
= 10sinθcosφ + 10cosθcosφ - 10sinφ
>>>> I can fill out innerproduct between x and r but how to solve the others,
Is it right answer? I want to find more correctly one (it make lots of number, because find each variables through lots of calculation)
>>>> I want to more objective soultion !