A

Determine whether the following planes \(\rho \) and \(\sigma \) are parallel, identical or intersecting. \[ \begin{aligned}[t] \rho \colon &x = -u + v, & \\&y = u + 2v, \\&z = -u - v,\ u,v\in \mathbb{R}, \\ \end{aligned}\qquad \sigma \colon x-2y-3z+1 = 0 \]

In the cube \(ABCDEFGH\) find the angle between the lines \(S_{BE}S_{AH}\) and \(HC\), where \(S_{BE}\) and \(S_{AH}\) are centers of the segments \(BE\) and \(AH\), respectively.

In the following list identify a line which is perpendicular to the line \(q\). \[ \begin{aligned}q\colon x& = 5 - t,& \\y & = 3t,\ t\in \mathbb{R} \\ \end{aligned} \]

Among the lines in the following list (slope-intercept form) identify a line perpendicular to the line \[ y = \frac{3}{4}x + 1. \]