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Two lines that are perpendicular to the same [third] line can meet at the same point, be parallel to one another or be skew. If you are not sure about that, see below for examples of all three cases.
The skewness between the two perpendicular lines is the angle between the projection of one of the lines on the other.
In vector analysis, if the direction vectors of the two perpendicular lines are a and b, then if x is the angle between them,
cos(x) = a.b/(|ab|)
where a.b is the scalar or dot product of aand b and,
|a| and |b| are the magnitudes (lengths) of the two vectors.
x is a measure of the skewness.
Example:
Imagine yourself in a cuboid room facing one of the walls. The line where the floor meets the opposite wall is the reference line.
First consider the line where the left wall meets the floor and where the left wall meets the wall you're facing. Both these are perpendicular to the reference line. They meet: at the bottom-left-front corner of the room.
Second, consider the line where the left wall meets the floor and where the right wall meets the floor. Both these are also perpendicular to the reference line. They never meet: they are parallel.
Third, consider the line where the left wall meets the floor and the diagonal on the facing wall: from the top-left-front to the bottom-right-front. Again both these are perpendicular to the reference line. They are not parallel but they never meet either: they are skew.
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The measure of the angle formed by 2 intersecting perpendicular lines is 90?
Yes, that is the definition of perpendicular.
Do the measure of the angle formed by two intersecting perpendicular lines measure 90 degrees?
Yes. That's one definition of "perpendicular".
Is the measure of the angle formed by two intersecting perpendicular lines is 90 degrees?
Yes, this can be considered the definition of perpendicular lines (or alternately, the definition of angular measurement). Perpendicular lines are lines that form an angle of 90 degrees.Yes, this can be considered the definition of perpendicular lines (or alternately, the definition of angular measurement). Perpendicular lines are lines that form an angle of 90 degrees.Yes, this can be considered the definition of perpendicular lines (or alternately, the definition of angular measurement). Perpendicular lines are lines that form an angle of 90 degrees.Yes, this can be considered the definition of perpendicular lines (or alternately, the definition of angular measurement). Perpendicular lines are lines that form an angle of 90 degrees.
Does perpendicular lines have a constant distance between them?
No but parallel lines have a constant distance between them
What is the difference between a perpendicular lines and intersecting lines?
Intersecting cross each other whereas perpendicular lines cross at right angles.
How can intersected lines be perpendicular?
If the angle between the lines is 90 degrees the lines are perpendicular.
What is the different of a perpendicular lines and intersecting lines?
The only difference between perpendicular lines and intersecting lines is that perpendicular lines create a right angle at the point of intersection.
What is the difference between perpendicular and intersecting lines?
perpendicular crosses at a right angle, while intersecting lines don't
Are intersecting lines perpendicular or not perpendicular?
Intersecting lines may or may not be perpendicular. If the angle of intersection between two intersecting lines is 90 degrees, then the two lines are perpendicular. Otherwise, the lines are not perpendicular. For example: A | | | B ----|----- | | Here, the lines A and B are intersecting. The angle between A and B is 90 degrees. Therefore, line A and line B are perpendicular to each other.
The measure of the angle formed by 2 intersecting perpendicular lines is 90?
Yes, that is the definition of perpendicular.
Do the measure of the angle formed by two intersecting perpendicular lines measure 90 degrees?
Yes. That's one definition of "perpendicular".
Is the measure of the angle formed by two intersecting perpendicular lines is 90 degrees?
Yes, this can be considered the definition of perpendicular lines (or alternately, the definition of angular measurement). Perpendicular lines are lines that form an angle of 90 degrees.Yes, this can be considered the definition of perpendicular lines (or alternately, the definition of angular measurement). Perpendicular lines are lines that form an angle of 90 degrees.Yes, this can be considered the definition of perpendicular lines (or alternately, the definition of angular measurement). Perpendicular lines are lines that form an angle of 90 degrees.Yes, this can be considered the definition of perpendicular lines (or alternately, the definition of angular measurement). Perpendicular lines are lines that form an angle of 90 degrees.
Does perpendicular lines have a constant distance between them?
No but parallel lines have a constant distance between them
What is the difference between a perpendicular lines and intersecting lines?
Intersecting cross each other whereas perpendicular lines cross at right angles.
What is the defintion for perpendicular line?
There's no such thing as one perpendicular line. "Perpendicular" tells the relationship between two lines, or between a line and a plane. Two lines are perpendicular if they form a 90-degree angle where they cross.
What angle measure do all perpindicular lines have?
Perpendicular lines meet at right angles which is 90 degrees
What is aright angle?
the 90 degree angle between two perpendicular lines; if your wondering what perpendicular lines are they are lines that cross each other at an intersection.
