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?
To determine if a line is perpendicular to a plane, we need to understand the concept of perpendicularity.
1. For the first question: Can RT be perpendicular to plane P?
Given that line RS is perpendicular to plane P at point R, we can say that any line passing through R and lying in the plane P will be perpendicular to P. However, if T is a second point not lying on the plane P, line RT cannot be perpendicular to plane P. This is because at least two points are needed on a line to determine if it is perpendicular to a plane.
2. For the second question: Are AB and LM coplanar?
If lines AB and LM are each perpendicular to plane P, it does not necessarily mean that they are coplanar. Two lines can be perpendicular to the same plane, but still not lie in the same plane themselves. So, without more information, we cannot conclude that AB and LM are coplanar.
3. For the third question: Can Q be perpendicular to AB?
Given that plane P is perpendicular to line AB at point B, plane Q can intersect line AB at any point other than point B. In this case, Q cannot be perpendicular to line AB because it intersects AB at a point other than B. To determine if Q is perpendicular to AB, we would need to know if the intersection point lies on AB and if the line of intersection is perpendicular to AB.