Answer
Q (17, -1, 14)
Work Step by Step
The question asks for the terminal point when vector v has initial point P
Given $v = <23, -5, 12>, P(-6, 4, 2)$
Let the terminal point be Q (x, y, z)
Add vector v to point P
$x = -6+ 23= 17$
$y = 4 + (-5) = -1$
$z = 2 + 12 = 14$
Thus the terminal point is Q (17, -1, 14)