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

Step-by-step 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).