Explanation:
From the attached figure, OAB forms a triangle having,
a = (2,1)
b = (3,-2)
Vector, OA = 2x + y
Vector, AB = x - 3 y
The resultant can be calculated using triangular law of vector addition as :
[tex]r=OA+AB[/tex]
[tex]r=2x+y+(x-3y)[/tex]
[tex]r=3x-2y[/tex]
So, the sum of the vectors plotted below is [tex]3x-2y[/tex]. Hence, the correct option is (c).
