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Another exercise on drawing geometric vectors

Let A = (2,1) and B = (1,3). Plot the vectors from the origin to A and B. Then, plot the vectors from the origin to the point tA+B = C for

    \[ t = \left\{ \frac{1}{3}, \frac{1}{2}, \frac{3}{4}, 1, 2, -1, -2 \right\}. \]


The plot is as follows (with the vectors A and B in red, and the various vectors C in blue):

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The points for each value of t are

    \begin{align*}  t &= \frac{1}{3} & \implies && C &= \left( \frac{5}{3}, \frac{10}{3} \right) \\  t &= \frac{1}{2} & \implies && C &= \left( 2, \frac{7}{2} \right) \\  t &= \frac{3}{4} & \implies && C &= \left( \frac{5}{2}, \frac{15}{4} \right) \\  t &= 1 & \implies && C &= \left( 3, 4 \right) \\  t &= 2 & \implies && C &= \left( 5,5 \right) \\  t &= -1 & \implies && C &= \left( -1,2 \right) \\  t &= -2 & \implies && C &= \left( -3,1 \right). \end{align*}

Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):