Answer
$-3i-5j+4k$
Work Step by Step
If a vector $v$ initiates at point $A(x_1,y_1,z_1)$ and terminates at $B(x_2,y_2,z_2)$, then we can write the vector as
$v =\lt x_2-x_1, y_2-y_1, z_2-z_1 \gt =(x_2-x_1)i+(y_2-y_1)j+(z_2-z_1)k.$
Here, we have: $A=(0,0,0)$ and $B=(-3,-5,4)$
Therefore, $v=(-3-0)i+(-5-0)j+(4-0)k\\
=-3i-5j+4k$