Question

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

Explanation:

Step1: Analyze vector $\vec{B}$

From the grid, $\vec{B}$ is a rightward vector with length 3 units.

Step2: Calculate $\vec{B} + \vec{B}$

Adding a vector to itself doubles its magnitude, direction stays the same.
$\vec{B} + \vec{B} = 2\vec{B}$, so the resultant is a rightward vector with length $2\times3=6$ units.

Step3: Match with given vectors

Vector $\vec{D}$ is a rightward vector with length 6 units, which matches $2\vec{B}$.

Answer:

D. $\vec{D}$