Science:Math Exam Resources/Courses/MATH152/April 2022/Question A11/Statement

Let ${\textstyle W_{1},\ W_{2}}$ be planes in 3-space ${\textstyle \mathbb {R} ^{3}}$ defined by equations

$${\begin{aligned}W_{1}:&\ x_{1}-2x_{2}+x_{3}=1,\\W_{2}:&\ x_{1}-x_{2}+2x_{3}=2.\end{aligned}}$$

Find the parametric form of the line of intersection of these planes.