Two vectors are shown in the standard \((x,y)\) coordinate plane below.

One of the following vectors in the standard \((x,y)\) coordinate plane is the sum of these 2 vectors. Which one?

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Vectors can be summed by adding their horizontal and vertical components.

The two given vectors are \(\lang 1,4 \rang\) and \(\lang 3,2 \rang\).

The resultant vector will be:

$$ \lang 1,4 \rang\ + \lang 3,2 \rang = \lang 1+3,4+2 \rang $$ $$ = \lang 4,6 \rang $$