Answer: option A. r = 3x+2y
Explanation:
Vector r is plotted on the graph. On x-axis each small division corresponds to 1 unit. Similarly on y-axis, each small division corresponds to one unit.
The vector is the resultant of addition of its x and y components. we would draw perpendicular to the x-axis and y-axis from the head of vector r.
On x-axis, [tex]r_x[/tex] = +3 units
on y-axis, [tex]r_y[/tex] = +2 units
[tex]r = r_x+r_y[/tex]
Hence, vector r can be written as: r = 3x + 2y . Correct option is A.