I'm trying to find out if it's possible to calculate Az If I'm just given Ax and Ay.
As an example say Ax is 3.4 and Ay is 7.8 how can I go about finding Az?
If your wondering I was watching a video Link to SLERP video and I wanted to ask the above question about it because I couldn't find an answer to it.
See formula below:
There are four unknown terms in the equation $||\vec A|| = \sqrt{A_x^2 + A_y^2 + A^z_2}$, namely: $||\vec A||$, $A_x$, $A_y$, and $A_z$. So if you know three of them, you can solve for the fourth.
But knowing only two of them, such as $A_x$ and $A_y$, it's not possible to solve for either of the other ones such as $A_z$.
The best you can do is to solve algebraically for $$A_z = \sqrt{||\vec A|| - A_x^2 - A_y^2}$$ but as you can see from that equation, you have to know the values of all three of $||\vec A||$, $A_x$, and $A_y$ in order to compute a value of $A_z$.