This is my problem. I have the vector: $$\vec A=10\hat i$$ at the point P(-3, 2, 4). Convert that vector to spherical coordinates.
I need to use a conversion matriz to find the components $A_r$, $A_\phi$, $A_\theta$. The final answer is $$\vec A=-(5.56\hat r+5.56\hat\phi+6.18\hat\theta)$$
I know how to get the answer, what I don´t understand is:
1) What does it mean vector: $\vec A=10\hat i$ at point P(-3, 2, 4). How can I interpret this.
2) What does it mean the answer $\vec A=-(5.56\hat r+5.56\hat\phi+6.18\hat\theta)$. How can I see this at the spherical coordinates.
It is supposed that both vectors must be equals, in fact the magnitude of both is $10$.
Thank you.