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Topic: Unit vector


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In the News (Mon 16 Nov 09)

  
  Bedrijfssoftware van Unit 4 Agresso
Unit 4 Agresso acquireert Lopac en vergroot aandeel op de markt van salarissoftware in Nederland
Unit 4 Agresso brengt actualiteitenprogramma voor de groothandel
Unit 4 Agresso voor 4e jaar Official Partner Eredivisie
www.unit4agresso.nl   (169 words)

  
  Delphi unit VECTOR
It is just a class which supports the handling of multidimensional data ('vectors') - although some common procedures of fundamental vector analysis are included.
The unit VECTOR is part of the SDL Component Suite.
VECTOR is now available for all versions of Delphi (1.0, 2.0, 3.0), and for C++Builder (1.0 and 3.0)
teachme.tuwien.ac.at /lo/vector.html   (206 words)

  
  PlanetMath: unit vector
A unit vector is a unit-length element of Euclidean space.
Thus, in quantum mechanics one represents states as unit vectors belonging to a (possibly) infinite-dimensional Hilbert space.
This is version 12 of unit vector, born on 2001-11-15, modified 2005-07-26.
www.planetmath.org /encyclopedia/UnitVector.html   (150 words)

  
  PlanetMath: unit vector
A unit vector is a unit-length element of Euclidean space.
Thus, in quantum mechanics one represents states as unit vectors belonging to a (possibly) infinite-dimensional Hilbert space.
This is version 12 of unit vector, born on 2001-11-15, modified 2005-07-26.
planetmath.org /encyclopedia/Normalize.html   (151 words)

  
 UNIT VECTOR
Vectors have both magnitude and direction, but in some calculations it is convenient to separate the two.
In mathematics, a unit vector in a normed vector space is a vector (most commonly a spatial vector) whose length is 1.
The normalized vector of a non-zero vector v is the unit vector codirectional with v, i.e.,
www.websters-online-dictionary.org /definition/english/Un/Unit+vector.html   (394 words)

  
 Vector Algebra:
Addition of two vectors is accomplished by laying the vectors head to tail in sequence to create a triangle such as is shown in the figure.
A unit vector is a vector of unit length.
The orthogonal projection of a vector along a line is obtained by moving one end of the vector onto the line and dropping a perpendicular onto the line from the other end of the vector.
em-ntserver.unl.edu /Math/mathweb/vectors/vectors.html   (1182 words)

  
 PlanetMath: vector norm
A vector norm on a complex vector space is defined similarly.
Given a metric on the vector space, a necessary and sufficient condition for this space to be a normed space, is
This is version 16 of vector norm, born on 2001-10-06, modified 2004-03-02.
planetmath.org /encyclopedia/VectorNorm.html   (242 words)

  
 Unit Vectors   (Site not responding. Last check: )
A unit vector is a vector which has a magnitude of 1.
The basic unit vectors are i = (1, 0) and j = (0, 1) which are of length 1 and have directions along the positive x-axis and y-axis respectively.
To find a unit vector with the same direction as a given vector, we divide by the magnitude of the vector.
www.algebralab.org /lessons/lesson.aspx?file=Trigonometry_TrigVectorUnits.xml   (323 words)

  
 Vector (spatial) Summary
The vector representing the plane's intended velocity points due east and is labeled 600 mph, while the vector representing the wind velocity points from the northeast at a 45° angle to the line heading due east.
A spatial vector is a special case of a tensor and is also analogous to a four-vector in relativity (and is sometimes therefore called a three-vector in reference to the three spatial dimensions, although this term also has another meaning for p-vectors of differential geometry).
Vectors can be contrasted with scalar quantities such as distance, speed, energy, time, temperature, charge, power, work, and mass, which have magnitude, but no direction (they are invariant under coordinate rotations).
www.bookrags.com /Vector_(spatial)   (5261 words)

  
 Physics 128 Lecture: Motion in 1-D
A unit vector is a vector with a magnitude of 1.
Vector A is 22.0 m at an angle of 90 degrees from the x-axis.
Vector B is 47.0 m at an angle of -60 degrees from the x-axis.
home.cord.edu /dept/physics/p128/lecture98_4.html   (544 words)

  
 201 quer01
C C I is the number of iterations, P interpolated distance of the C Fermi surface, Q(3) the vector to the center of the plane considerd.
the iteration for this vector is to be truncated.
In the programs the vectors a and the C vector p are sored in the same array on the positions 1,..,N C and N+1, respectively.
www.lrz-muenchen.de /~Fehrenbach/sapwman/node228.html   (461 words)

  
 Vector Arithmetic
I have already defined the scalar components of a vector as the coordinates of the head of the vector when its tail is at the origin.
The unit vectors are the exception to the italicized rule.
Remember that the sum of two vectors is a vector from the tail of the first to the head of the second.
www.mcasco.com /p1va.html   (1972 words)

  
 Price Applications Classes: PacDescUnit
The dimensionality vector gives the powers (both positive and negative) to which fundamental units such as length, mass, and time are raised to form the dimensionality of the described quantity.
A unit vector is obtained by dividing the components of a length vector by the magnitude of the overall vector.
Yet, retaining the characteristic of a length vector is appropriate since a unit vector is a frequent partcipant in vector manipulations.
www.grc.nasa.gov /WWW/price000/pac/htm/pacdescunit.html   (1281 words)

  
 VECTOR MATH: Star Drive by John Gard
The unit vector relationships to each other are the same in spherical coordinate as they are in cartesian coordinates.
Some real vectored forces are water, circling, while it is going down in the sink; a top spinning while leaning to the side and oscillating; a Frisbee flying; and riding a bicycle, are all vector force reactions.
The major functions here are the vector operator operating on a vector, the vector operator operating on a scalar, the dot vector operation on a vector, the cross vector operation on a vector and the second order differential of the vector operator operating on a scaler.
www.1stardrive.com /solar/vector.htm   (1353 words)

  
 Vector Operations
A vector is a directed quantity, as such, a two-dimensional vector can be represented as a line from the origin to a point in the xy-plane.
The unit vector is a vector in which all of the elements are ones.
A unit vector is, obviously, a different entity than a vector with unit length.
www.gseis.ucla.edu /courses/ed231a1/notes/vecops.html   (605 words)

  
 Vectors
Graphically, a vector is represented by an arrow, defining the direction, and the length of the arrow defines the vector's magnitude.
The sum of two vectors, A and B, is a vector C, which is obtained by placing the initial point of B on the final point of A, and then drawing a line from the initial point of A to the final point of B, as illustrated in Panel 4.
We require that the unit vectors be perpendicular to one another, and that one unit vector be in the direction of increasing r, and that the other is in the direction of increasing
www.physics.uoguelph.ca /tutorials/vectors/vectors.html   (1708 words)

  
 [No title]
If r is the vector from the origin to the point P and we have a vector (w utan) along the tangent line, we can add these two vectors to get a resultant vector from the origin to the point on the tangent line that corresponds to w.
Thus, the gradient of the equation for a surface represents a vector that is perpendicular to the surface.
The integral on the left is the integral of the divergence of the vector, f; recall that the divergence of a vector is a scalar.
www.csun.edu /~lcaretto/me501b/vector.doc   (5169 words)

  
 Unit Vectors as Directions   (Site not responding. Last check: )
The unit vector for a given vector points in the same direction as that vector.
There is only one unit vector in a given direction.
Often the unit vector for a given vector is used to express the given vector's direction.
chortle.ccsu.edu /VectorLessons/vch08/vch08_6.html   (215 words)

  
 SparkNotes: Vector Addition: Terms
If u is a unit vector, the projection of a vector v in the direction of u is given by a new vector which points in the direction of u and whose magnitude is v⋅u: i.e.
Unit vector - A vector whose length is one.
The unit vectors which point in the x-, y-, and z-directions in typical 3-dimensional space are usually denoted by i, j, and k, respectively.
www.sparknotes.com /physics/vectors/vectoraddition/terms.html   (515 words)

  
 World Web Math: Vector Calculus Summary
A unit vector is a vector with magnitude 1, and any nonzero vector can be made into a unit vector by dividing by its magnitude.
Gradient vector fields are also called conservative vector fields, because the work done by a particle moving in a closed loop against a gradient vector field is always 0.
The curl of a gradient vector field is the zero vector; this is useful in testing whether an arbitrary vector field is conservative.
web.mit.edu /wwmath/vectorc/summary.html   (945 words)

  
  Success in a tank battle is often determined by the superiority of the weaponry involved. The increased lethality ...
n is the influence of the vector p on the planar surface.
Vector calculus computations are coded into those computer simulations; programs used to design and evaluate present and proposed penetrators.
Cadets and faculty from the United States Military Academy have participated in the research effort in conjunction with the ARL scientists.
www.dean.usma.edu /math/pubs/mmm99/C4.HTM   (1680 words)

  
 Me317 - Vector Mathematics Course Notes
In dynamics, the vectors of interest are 3 dimensional, meaning that the magnitude and direction of the vector can be described by three scalar quantities.
Generally speaking, it is a good idea to define unit vectors that form an orthogonal coordinate system, meaning that each unit vector forms a 90 deg angle with the other two unit vectors.
The vector quantities that are manipulated in this course are quantities such as the force acting on a body or the velocity of a point on a body with respect to a particular reference frame.
oregonstate.edu /instruct/me317/costello/Me317_cn1.htm   (1433 words)

  
 Basic Properties of Vectors   (Site not responding. Last check: )
A vector might also be expressed in terms of unit vectors.
It is convenient to use vectors of unit length to specify the directions of vector quantities in the various coordinate systems.
In cartesian coordinates it is typical to use i, j and k to represent unit vectors in the x, y and z directions respectively.
hyperphysics.phy-astr.gsu.edu /hbase/vbas.html   (168 words)

  
 135
The unit tangent vector is the velocity vector divided by the speed.
The normal vector is orthogonal to the tangent vector at the point of tangency.
Just as any vector can be resolved into its x and y components, the acceleration vector of an object in motion can be resolved into tangential and normal components along the unit tangent and principal unit normal vectors.
math.stcc.edu /CalculusIII/135.html   (549 words)

  
 Vector
Vectors of the same type can be added to yield the resultant vector.
The third side is the resultant vector (c) drawn from the tale of the first vector to the tip of the last vector added.
One can move the vectors freely to connect tip-to-tale as far as the magnitudes and the directions of the vectors are intact.
kwon3d.com /theory/vect/vector.html   (704 words)

  
 Math Forum Discussions
Re: unit vector is dimensionless, how to draw when coordinates for length?
vectors for a given coordinate system are the same when expressing a
The Math Forum is a research and educational enterprise of the Drexel School of Education.
www.mathforum.org /kb/thread.jspa?threadID=1332691&messageID=4284922   (561 words)

  
 UNIT VECTOR-FREE VECTOR-POSITION VECTOR-NULL VECTOR
A free vector can be specified by giving its magnitude and any two of the angles between the vector and coordinate axes.
A null vector is a vector having magnitude equal to zero.It is represented by
Generally a null vector is either equal to resultant of two equal vectors acting in opposite directions or multiple vectors in different directions.
www.citycollegiate.com /vectorXIf.htm   (285 words)

  
 Vectors
From a physical or geometrical point of view, "a vector is an arrow" with a certain length and a certain direction, and that concept is more fundamental than the representation of the vector by a string of 2 or 3 numbers.
Notice that the new coordinate vector is obtained by vector subtraction of the coordinate vector of O' from the old coordinate vector of the point.
a, is 5 and the corresponding unit vector is
www.math.tamu.edu /~fulling/coalweb/vectors.htm   (1011 words)

  
 VECTORS - NORMALIZING
The shorthand notation for representing a unit vector is to draw a horizontal bar above its name.
Using the shorthand notation of 2 vertical bars either side of the name of a vector to indicate the its length or magnitude the arithmetic for calculating a unit vector is written as,
For instance, using the same vector as the previous example we know its xyz coordinates are [3 1 2] and that its length (ie.
www.fundza.com /vectors/normalize/index.html   (462 words)

  
 Unit Vector
A unit vector is a vector with magnitude one.
Unit Vector -- from MathWorld Unit Vector -- from MathWorld A vector of unit length, sometimes also called a direction vector (Jeffreys and Jeffreys 1988).
unit vector unit vector A unit vector is a vector with a length, or vector norm, of one.
www.number1-freeware.com /unit_vector.asp   (271 words)

  
 Linux for PlayStation 2 Community: Coding for the PlayStation 2
Notice also how Vector Unit 0 is flexible, able to run either in macro mode, bound to the main CPU core as a co-processor, or in micro mode, as a totally independent processor.
The harness is designed such that you literally load your data into Vector Unit 1 and execute it, and that's all there is to it.
There are a couple of Vector Unit docs out there: Eratosthenes' VU tutorials (the homepage) and the project page, and Myrkraverk's Extremely Short MIPS Assembly HOWTO.
playstation2-linux.com /coding-on-playstation2.php   (3986 words)

  
 Vectors
What are the components of a unit vector in terms of the circular functions?
How can you write a vector as a sum of a vector parallel to a given vector and a vector perpendicular to the vector?
The Math Forum is a research and educational enterprise of the Drexel School of Education.
mathforum.org /~klotz/Vectors   (302 words)

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