3 years ago

Which equation describes the sum of the vectors plotted below?

Physics

2 answers:

andrew-mc [135]3 years ago

6 0

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

r = 3x - 2y

Crazy boy [7]3 years ago

5 0

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).

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