Question

Which equation describes the sum of the vectors plotted below?

Answer 1

It's the third one in the picture ...

r = 3x - 2y

Answer 2

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 :

$r=OA+AB$

$r=2x+y+(x-3y)$

$r=3x-2y$

So, the sum of the vectors plotted below is $3x-2y$. Hence, the correct option is (c).