Which one of the following statements is always true?
A) Two planes always intersect in a line.
B) The equation can be used to calculate the distance between any two planes.
C) A plane cannot contain two skew lines.
D) The equation describes the plane containing the point and containing the vector .

Question

Which one of the following statements is always true?
A) Two planes always intersect in a line. 
B) The equation can be used to calculate the distance between any two planes. 
C) A plane cannot contain two skew lines. 
D) The equation describes the plane containing the point and containing the vector .

Quizplus · Accepted Answer

A plane contains all points that can be reached by parallel translating any pair of its points along a vector perpendicular to the plane. Two skew lines do not intersect and therefore cannot share any points in common. Therefore, a plane cannot contain two skew lines. The other statements are not necessarily true.

Which One of the Following Statements Is Always True