There is another question related to vector notation here: Unit vector notation - both line and hat? but it does not answer my question. It questions using the arrow and bar together. My question has nothing got to do with that.
My textbook expresses vectors as:
$$\vec{v}_{(t=1)}=10\ \vec{i} + 21\ \vec{j}\ m\ s^{-1}$$
But my understanding is that the $i$ and $j$ are both unit vectors in this expression.
Would it be better to express the vector as:
$$\vec{v}_{(t=1)}=10\ \hat{i} + 21\ \hat{j}\ m\ s^{-1}$$
Obviously it's understood that the $i$ and $j$ are unit vectors in the first expression but I feel it's better to just use the correct notation.
Also the textbook labels the axis as $\vec{i}$ and $\vec{j}$. I have a problem with this as well as the axes are not vectors themselves. I think the axes should be labelled $i$ and $j$ without anything overhead.
Is there anything wrong with my preference of using $\hat{i}$ and $\hat{j}$ within the vector expression and $i$ and $j$ for my axes?