Whenever we write $\cos(\hat{\textbf{n}},z)<0$ do we mean that the angle between the unit normal and the $z$ axis is greater than 90$^\circ$?
Or is it some sort of reference to the dot product?
Context:
Whenever we write $\cos(\hat{\textbf{n}},z)<0$ do we mean that the angle between the unit normal and the $z$ axis is greater than 90$^\circ$?
Or is it some sort of reference to the dot product?
Context:
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It's both :)
I believe $(\hat{\textbf{n}},z)$ stands for angle between unit vector $\vec{n}$ and unit vector of $z$ axis, usually denoted with $\vec k$.
So:
$$cos(\hat{\textbf{n}},z)<0$$
...is equivalent to:
$$\angle(\vec n, \vec k)>90^\circ$$
...or:
$$\vec n\cdot\vec k<0$$