Chapter 12 - Vectors and the Geometry of Space - 12.5 Equations of Lines and Planes - 12.5 Exercises - Page 871: 13

Yes

Let $v_1$ be vector in the line containing the first two points. $v_1=\lt-2-(-4),0-(-6),-3-1\gt$ $=\lt 2,6,-4\gt$ $=2\lt\lt 1,3,-2\gt$ Let $v_2$ be vector in the line containing the first second two points. $v_2=\lt10-5,18-3,4-14\gt$ $=\lt 5,15,-10\gt$ $=5\lt 1,3,-2\gt$ Then $v_1 \parallel v_2 $ because they are scalar multiples of each other.