normal of vs normal to

Both 'normal of' and 'normal to' are correct, but they are used in different contexts. 'Normal to' is the more common and standard phrase used to describe a line or plane that is perpendicular to another line or plane. On the other hand, 'normal of' is used in mathematical contexts to describe the normal vector of a surface or object.

Last updated: April 01, 2024 • 858 views

This phrase is correct in mathematical contexts to describe the normal vector of a surface or object.

"normal of"

This phrase is commonly used in mathematics to refer to the vector that is perpendicular to a surface or object. It is used to calculate angles, distances, and other geometric properties.

Examples:

The normal of the plane is pointing in the positive z-direction.
The normal of the cube is a vector perpendicular to all its faces.
In 3D graphics, the normal of a polygon is crucial for shading calculations.
The normal of the sphere at a given point is the radial vector from the center.
Calculating the normal of a curve requires knowledge of calculus and vector algebra.

Show examples from the web [+]

Sets the maximum angle of the surface normal of two adjacent faces. (FACETERDEVNORMAL system variable)
Controls the surface normal of the solid or surface where it passes through the cross sections.
Its main measure of effectiveness was the proportion of patients who had had a' haematological response' (a return to normal of the number of white cells in the blood).
Poids: Basic with vacuum approximately 13890 kg; operationnel with vacuum 14091 kg; normal of takeoff 20411 kg; maximum of takeoff approximately 27951 kg
And there is a variant of this gene that is in the normal of you have this.
By a side we so have the failure of the boy or the adolescent of way that its intellectual capacity does not allow him to follow the rate normal of the class.
The angle between the normal of the sensor plane and the line connecting the midpoint of the sensor and the light source shall be 10º.
Therefore, together with the Presidency, we have urged all parties to implement without further delay all the provisions of the agreement as a precondition for the return to normal of our relationship, including our development cooperation.
Objects do not have to be parallel to the same plane. If all objects are on a common plane, the objects are extruded in the direction of the normal of the plane.
A normal life or at least as normal of a life as you can get.
What would I normally do... on what has to appear to be the most exceptionally normal of days?
Realised by the Escuela Superior Normal of Buenos Aires (Argentina)
So normal of me.
But to find out that it happened in my own backyard and that it can happen to the most normal of families and the most normal of children, and how quickly it could happen.

Alternatives:

normal vector of
perpendicular to
orthogonal to
at right angles to
perpendicular vector of

This phrase is commonly used to describe a line or plane that is perpendicular to another line or plane.

"normal to"

This phrase is widely used in geometry and physics to indicate that a line or plane is perpendicular to another line or plane. It is used to define relationships between geometric elements.

Examples:

The line AB is normal to the plane XYZ.
The normal to a curve at a point is a line perpendicular to the tangent.
In optics, the normal to a surface is used to calculate the angle of incidence.
The normal to the equator is a line passing through the poles.
The normal to a vector is a line perpendicular to it.

Show examples from the web [+]

And anyway it's normal to be unhappy.
It's normal to get cold feet before your wedding.
Yes - grey-green to more green when watering sounds normal to me - mine are the same.
Adapted to normal to dry skin.
Specifies whether the profile is aligned to be normal to the tangent direction of the sweep path.
It's perfectly normal to lose a little at first.
It's normal to get emotional afterwards.
We are a couple... it's normal to quarrel.
It's quite normal to get jittery before an operation of any kind.
It's normal to be competitive when you're younger.
It's perfectly normal to be territorial when you care about someone.
It's perfectly normal to be afraid of killing someone.
It's normal to be nervous, Ana.
Look, it's normal to feel scared.
It's normal to be tired after a seizure.
It's normal to be a little tongue-tied at first.
It's normal to get upset and have arguments.
It's normal to want to save face.
It seems quite normal to me.
It's not normal to act the way you are.

Alternatives:

perpendicular to
orthogonal to
at right angles to
perpendicular line to
perpendicular plane to

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normal of vs normal to

"normal of"

"normal to"

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