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Difference between revisions of "Perpendicular straight lines"

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Straight lines forming a right angle with each other (such straight lines need not intersect in space). A straight line <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p072/p072340/p0723401.png" /> and a plane <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p072/p072340/p0723402.png" /> are said to be mutually perpendicular if <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p072/p072340/p0723403.png" /> is perpendicular to any straight line lying in <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p072/p072340/p0723404.png" />. See [[Orthogonality|Orthogonality]] for a generalization of the concept of perpendicularity.
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Straight lines forming a right angle with each other (such straight lines need not intersect in space). A straight line $l$ and a plane $\alpha$ are said to be mutually perpendicular if $l$ is perpendicular to any straight line lying in $\alpha$. See [[Orthogonality|Orthogonality]] for a generalization of the concept of perpendicularity.

Latest revision as of 15:58, 9 April 2014

Straight lines forming a right angle with each other (such straight lines need not intersect in space). A straight line $l$ and a plane $\alpha$ are said to be mutually perpendicular if $l$ is perpendicular to any straight line lying in $\alpha$. See Orthogonality for a generalization of the concept of perpendicularity.

How to Cite This Entry:
Perpendicular straight lines. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Perpendicular_straight_lines&oldid=31464