Vectors Question 5

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?

Approach

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