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Find the terminal point of the vector that is equivalent to $\mathbf{u}=(1,2)$ and whose initial point is $A(1,1)$.
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The terminal point of a vector is the point that the vector points to or ends at. To find the terminal point of a vector, we need to add the vector to the initial point of the vector.

In this case, the initial point of the vector is given as $A(1,1)$, and the vector is given as $\mathbf{u} = (1,2)$. To find the terminal point, we simply add the coordinates of the vector to the coordinates of the initial point, like this:

\begin{aligned} A + \mathbf{u} &= (1,1) + (1,2) \ &= (1 + 1, 1 + 2) \ &= (2,3) \end{aligned}

Therefore, the terminal point of the vector is $\boxed{(2,3)}$.
by Platinum (101k points)

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