Two lines perpendicular to the same line are perpendicular to each other?

Question

Two lines perpendicular to the same line are perpendicular to each other?

True or False

Back your answer

Answer 1

depending on the space you're considering, it would be SOMETIMES true. But usually, the 2 lines would be parralel.

What i'm saying is, that in an euclidian space, the 2 lines would be parallel. In another kind of space, the two lines could be anything...

for example: look at how longitude and lattitude are represented on a globe : they are "lines"... 2 sets of perpendicular lines...
Now look at what happens in the poles : all lines intersect! (therefore, they're not parallel, and not necessarily perpendicular either)

Answer 2

Your conclusion is false.

When two lines are perpendicular to a line there is a possibility for the two lines to be (1) perpendicular (same as the co-ordinate axis x, y, z) and those two can be (2) parallel also.

The other interesting thing is that they (3) may not be parallel or perpendicular also.

(1) Perpendicular : This can be understood clearly by seeing the co-ordinate axis.

(2) Parallel : take three pencils one black and the other two another colour. now place the black one vertically and place theother two pencils such that the 3 will make up the letter F. Now you can see the both of the coloured pencils are perpendicular to the black one but parallel to each other.

(3) May not be parallel or perpendicular also : As the above experiment, place the black one vertically on a table and take a coloured one and form the letter L. now if you place the other coloured pencil any where on the circumferenceof the black one by touching the tip of the coloured one then you can find that the 2 coloured pencils are perpendicular and they are not only parallel or perpendicular.

Hope you could understand this explaination. If you have any doubts, contact me.

Answer 3

It can be true and can be false. It depends on which case you are referring to.

1st case: The 2 lines are perpendicular to the same line and also
to each other.
2nd case: The 2 lines are perpendicular to the same line but
parallel to each other.
3rd case: The 2 lines are perpendicular to the same line but are
neither perpendicular nor parallel to each other.
Meaning that they are separated by an acute or obtuse
angle.

Answer 4

False, on a planar surface. Two lines which are perpendicular to the same line are parallel to one another, not perpendicular. For example, consider the sides of a rectangle. Adjacent sides are perpendicular to one another, but opposite sides are parallel.

Answer 5

false two lines perpendicular to the same line are parallel to each other

Answer 6

True! This is what we call the drawing of the three dimensional axis; all three lines are perpendicular to each other.

Answer 7

tricky task look on on to a search engine that will can help

Answer 8

its depend on the condition....................
it will be false except in the condition in one condition it will be true.
TRUE »» considering the situation of the 3-D cartesian system...
where two axises X & Y are perpendicular to the Z axis
also perpendicular to each other.......
for FALSE»»you can see any other situation.........

Answer 9

FALSE


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In the above figure the two lines are perpendicular to the same line and they are not perpendicular to each other but parallel to each other

Answer 10

no
they may (or may not in 3 D ) be parallell to each other.