first part:
Suppose you are standing a ruler on the floor, the ruler is RS, and it is perpendicular to the floor.
If T is not along this ruler, could RT be parallel to ruler RS ??? (NO)
2nd:
think of a table with 4 legs.
All the legs would be perpendicular to the table and parallel to each other. Could you imagine a plane containing two of the legs? (YES)
I don't follow the wording of the 3rd question
a line RS is perpendicular to plane p at R. If T is a second point not on. Can RT be perpendicular to plane P?
Lines AB and LM are each perpendicular to plane P. Are AB and LM coplanar?
Plan P is perpendicular to AB at B. Plane Q intersects AB at P. Can Q be perpendicular to AB?
3 answers
I wrote the question wrong. its supposed to be
Plan P is perpendicular to AB at B. Plane Q intersects AB at B. Can Q be perpendicular to AB?
Plan P is perpendicular to AB at B. Plane Q intersects AB at B. Can Q be perpendicular to AB?
depends on your definition of "intersects"
Imagine a wall and the floor, the wall being Q and the floor being P. They would be perpendicular.
Along the wall draw a line AB, with B on the floor and AB perpendicular with the floor.
Does the wall "intersect" the line AB at B, that is, is B on he wall?
Imagine a wall and the floor, the wall being Q and the floor being P. They would be perpendicular.
Along the wall draw a line AB, with B on the floor and AB perpendicular with the floor.
Does the wall "intersect" the line AB at B, that is, is B on he wall?