Question

which of the vectors (shown below) best represent the resultant vector that equal the following?\\(vec{a} + vec{j}\\)

Explanation:

Step1: Define vector components

Let each grid square = 1 unit.
$\vec{A} = \langle 2, 0
angle$ (2 right, 0 up)
$\vec{J} = \langle 0, -3
angle$ (0 right, 3 down)

Step2: Add component-wise

$\vec{A} + \vec{J} = \langle 2+0, 0+(-3)
angle = \langle 2, -3
angle$

Step3: Match to given vectors

This vector has 2 units right, 3 units down, which matches $\vec{P}$.

Answer:

P. $\vec{P}$