Perpendicular -- from Wolfram MathWorld
- ️Weisstein, Eric W.
Two lines, vectors, planes, etc., are said to be perpendicular if they meet at a right angle. In 
, two vectors 
and 
are perpendicular if their dot
product
 |
(1) |
In 
, a line with
slope 
is perpendicular to a line
with slope 
. Perpendicular objects are sometimes said to be "orthogonal."
In the above figure, the line segment 
is perpendicular to the line
segment 
.
This relationship is commonly denoted with a small square
at the vertex where perpendicular objects meet, as shown above, and is denoted 
.
Two trilinear lines
are perpendicular if
 |
(4) |
(Kimberling 1998, p. 29).
See also
Cathetus, Gnomon, Normal Vector, Orthogonal Lines, Orthogonal Vectors, Parallel, Perpendicular Bisector, Perpendicular Foot, Perpendicular Vector, Right Angle Explore this topic in the MathWorld classroom
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References
Kern, W. F. and Bland, J. R. Solid Mensuration with Proofs, 2nd ed. New York: Wiley, p. 10, 1948.Kimberling, C. "Triangle Centers and Central Triangles." Congr. Numer. 129, 1-295, 1998.
Referenced on Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Perpendicular." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Perpendicular.html