MathProblemsBank

3.3.30 Line and Plane in Space

Condition: Given: Direct in the space specified by the system \ (l: \ left \ {\ bein {array} {c} 2 x-3 y+1 = 0 \\ x-z-2 = 0 \ end {array} \ right. \) And \ (\ quad \) point \ ( M (1.0.1) \) a) compile the equation of the direct \ (l \) in canonical form; b) compose the equation of the plane, perpendicular straight \ (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 Plane, Angles Between Lines and Planes, Finding Equations of Lines and Planes in Space, and Much More.