Table of Contents
Can a vertical line intersect a horizontal plane?
Horizontal planes, e.g., walls, may be parallel to each other or they may intersect at a vertical line. Horizontal surfaces do not intersect. Furthermore, a plane cannot both be a horizontal plane at one place and a vertical plane somewhere else.
When the line is perpendicular to horizontal plane and the position of line is?
Explanation: If a line is perpendicular to the horizontal plane then its horizontal trace coincides with its top view which is a point. It has no vertical trace because the line is parallel to vertical plane the line will not touch the vertical plane. 6.
What is the intersection of a plane and a line called?
If a line and a plane intersect one another, the intersection will be a single point, or a line (if the line lies in the plane). Putting these values together, we can say the point of intersection of the line and the plane is the coordinate point.
What is horizontal line and vertical line?
Horizontal lines are lines drawn from left to right or right to left and are parallel to the x-axis. Vertical lines are lines drawn up and down and are parallel to the y-axis. Horizontal lines and vertical lines are perpendicular to each other.
What is vertical and horizontal trace?
The point where the line or line produced meets the plane is called trace. Horizontal Trace: The point of intersection of the inclined line with the H.P. is called Horizontal Trace or simply H.T. Vertical Trace: The point of intersection of the inclined line with the V.P. is called Vertical Trace or simply V.T. 40.
What is a plane line?
A line is defined as a line of points that extends infinitely in two directions. A plane extends infinitely in two dimensions. It has no thickness. An example of a plane is a coordinate plane. A plane is named by three points in the plane that are not on the same line.
What is the difference between parallel lines and perpendicular lines?
In Figure 1, lines l and m intersect at Q. Two lines that intersect and form right angles are called perpendicular lines. The symbol ⊥ is used to denote perpendicular lines. In Figure , line l ⊥ line m. Figure 2 Perpendicular lines. Two lines, both in the same plane, that never intersect are called parallel lines.
How to prove a vector is perpendicular to two lines?
1 First, write down two vectors, and that lie along and respectively. 2 Find the cross product of these two vectors and call it This vector is perpendicular to and hence is perpendicular to both lines. 3 From vector form a unit vector in the same direction.
What is the relationship between two planes in space?
When we describe the relationship between two planes in space, we have only two possibilities: the two distinct planes are parallel or they intersect. When two planes are parallel, their normal vectors are parallel. When two planes intersect, the intersection is a line ( (Figure) ). The intersection of two nonparallel planes is always a line.
What is it called when two lines never intersect?
Parallel lines. Two lines, both in the same plane, that never intersect are called parallel lines. Parallel lines remain the same distance apart at all times.