meaning of clowder - Pets Zone
8 What is the usual meaning of having the symbol $\hat {}$ (i.e., a hat) over a vector name? What do vectors denoted by $\hat {\mathbf {u}}$ usually represent? For example, in this video, at min 3:00, the author denotes a unit vector by $\hat {\mathbf {u}}$, but I don't understand why not simply denoting it by $\mathbf {u}$.
Understanding the Context
Where is the reference to a straight line? So, whether linear is just a word used in different contexts? Does it have different meaning in different situation? Or linearity refers to some relation to a straight line?
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At Least please explain how the linearity of function f and linear vector space relate to the equation of a line.