Answer
$8i-j$
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: $A=(-2,-1,4)$ and $B=(6,-2,4)$
Therefore, $v=(6-(-2))i+(-2-(-1))j+(4-4)k\\
=8i-j$
