Vectors, Plotting a graph with a parametric equation

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How do you plot the direction vector and how do you decide whether to take the negative of a vector or the positive when plotting it?

For the graph below, I got the normal vector as (-1, 2) but it is plotted as (1, -2). Also the direction vector here is (2, 1) but here it is plotted at (1,2)?

Graph:

img1

Equation:

img2

Equation in parametric form:

img3