3.3.30 Line and plane in space
Condition: Given: a line in space defined by the system \( l:\left\{\begin{array}{c}2 x-3 y+1=0 \\ x-z-2=0\end{array}\right. \) and \( \quad \) point \( M(1,0,1) \) a) compose the equation of the straight line \( l \) in canonical form; b) create an equation of a plane perpendicular to the line \( l \) and passing through the point \( M(1,0,1) \); c) find the distance from the point \( M(1,0,1) \) to the line \( l \).
Straight lines and planes in space. Intersection of lines and planes, calculation of the distance of a line and a plane, angles between lines and planes, finding equations of lines and planes in space, and much more.