Answer
The statement is false.
Work Step by Step
The vector addition of two vectors is represented by the head of the first vector and the tail of the second vector. The resultant vector starts from the tail of the first vector to the head of the second vector and the direction of arrow is toward the second vector.
From the given graph, the addition of two vectors $\mathbf{A}$ and $\mathbf{B}$ is given by
$\mathbf{A}+\mathbf{B}=-\mathbf{E}$
So, $\mathbf{A}+\mathbf{B}\ne \mathbf{E}$. Thus, the statement is false.
