# Calculate-a-Normal-Vector-CAL-Command

Calculate a Normal Vector (CAL Command)

# Calculate a Normal Vector (CAL Command)

The nor function calculates the unit normal vector (a vector perpendicular to a line or plane),
not a point. The vector defines the direction of the normal, not a location in space.
You can add this normal vector to a point to obtain another point.

nor

Determines the 3D unit normal vector of a selected circle, arc, or polyline arc segment.
This normal vector is the Z coordinate of the object coordinate system (OCS) of the selected object.

nor(v)

Determines the 2D unit normal vector to vector v. Both vectors are considered 2D, projected on the XY plane of the current UCS. The orientation of the resulting normal vector points to
the left of the original vector v.

nor(p1,p2)

Determines the 2D unit normal vector to line p1,p2. The line is oriented from p1 to p2. The orientation of the resulting normal vector points to the left from the original
line (p1,p2).

nor(p1,p2,p3)

Determines the 3D unit normal vector to a plane defined by the three points p1, p2, and p3. The orientation of the normal vector is such that the given points go counterclockwise
with respect to the normal.

The following illustrations show how normal vectors are calculated: The following example sets the view direction perpendicular to a selected object.
The program displays the object in plan view and does not distort the object by the
parallel projection.

Command: vpoint

Current view direction: VIEWDIR=current

Specify a view point or [Rotate] <display compass and tripod: ‘cal

Expression: nor

Select circle, arc or polyline for NOR function:

e nor function calculates the unit normal vector (a vector perpendicular to a line or plane), not a point. The vector defines the direction of the normal, not a …Calculus III (Notes) / 3-Dimensional Space / Tangent, Normal and Binormal … Example 1 Find the general formula for the tangent vector and unit tangent vector to the … From the fact statement and the relationship between the magnitude of a  …compute the gradient vector and plug this into the formula for the normal vector. Doing this gives, …28 Dec 2010normal vector, often simply called the "normal," to a surface is a vector which is perpendicular to the surface at a given point. When normals are considered …… In Vector Calculus there are excellent commands for finding the normal vector to a curve (PrincipalNormal and TNBFrame) but none for finding …normal vector (ie, a vector perpendicular to a plane) is required frequently … in the plane, say the corner points of a mesh triangle, it is easy to find the normal.… March 21, 2012. Vector calculus is a staple of the engineering disciplines. … MatrixForm command interacts with other Mathematica operations, its use should be discouraged. …. The hardest part is finding a normal vector.Vector Calculus; Graphing Calculator; Physics; Statistics and Data Analysis …. returns a normal vector of p which is a vector perpendicular to the plane p. … The command with(geom3d,plane) allows the use of the abbreviated form of this … Find the equation of the plane through the origin parallel to each of the lines and .normal vector for a plane Calling … Design Calculation Tools • Machine Design • Model-based Systems Engineering … Calculus : Lines and Planes : Student/MultivariateCalculus/GetNormal …. The Student[MultivariateCalculus][GetNormal] command was introduced in Maple 17.

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