What is the maximum number of rectangular components into which a vector can be split in space?

What is the maximum number of components into which a vector can be resolved?

Find the magnitude and direction of the vectors $\hat{i}+\hat{j}$ and $\hat{i}-\hat{j}$. What are the components of a vector $\vec{A}=2\hat{i}+3\hat{j}$ along the directions of $\hat{i}+\hat{j}$ and $\hat{i}-\hat{j}$?

Any vector in an arbitrary direction can always be replaced by two (or three)

Two forces of magnitude $P$ and $Q$ acting at a point have a resultant $R$. The resolved part of $R$ in the direction of $P$ is of magnitude $Q$. The angle between the forces is:

Which one of the following pairs cannot be the rectangular components of a force vector of $10 \, N$?