Answer to Question #293610 in Analytic Geometry for Elley

Question

Find the equations of the line through (1,3, 4 ) and parallel to the line joining the points (−4, 5, 3) and (8, 9, 7)

Answer 1

Solution;

$\overrightarrow{AB}=(8,9,7)-(-4,5,3)$

$\overrightarrow{AB}=(12,4,4)$

$\frac13( \overrightarrow{AB})=(3,1,1)$

Vector form of equation through (1,3,4) is;

(x,y,z)=(1,3,4)+t(3,1,1)