Problem: Let the area of the triangle formed by the lines $x+2=y-1=z, \frac{x-3}{5}=\frac{y}{-1}=\frac{z-1}{1}$ and
$\frac{x}{-3}=\frac{y-3}{3}=\frac{z-2}{1}$ be $\alpha$. Then $\alpha^2$ is equal to
.
Solution: I encourage you to attempt to solve
the problem today. The solution will be provided tomorrow. This will give you the opportunity to
test your understanding of the problem and to improve your skills in solving similar problems in the
future.