Finding the mirror image of a line

Published on November 18, 2024

The solution finds the equation of a line g' that is the reflection of line g across line s. It involves finding the intersection point of g and s, projecting a direction vector of g onto a normal vector of s, and then calculating the direction vector of g'. Finally, the equation of g' is determined using the intersection point and the direction vector of g'.

Question

Mirror the straight line g on the straight line s and determine the coordinates of the mirror line g'. g: 2x+y-12=0, s: 2x+3y-12=0

Solve in terms of vectors.

Answer