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How do you describe a direction?
How do you describe the direction of a vector?
What is the difference between sense and vector direction?
Is direction intrinsic to a vector?
The definition of direction is by three numbers--- (a,b,c) which represent the components of a vector along an arbitrary x-axis, y-axis, and z-axis. But if you ignore the motivation, a vector is a triplet of numbers.
- In a slightly philosophical vein, direction acquires meaning only when you compare two objects. For example, when you attribute a "direction" to a...
- I'll take this to a different level of abstraction, since you seem to want a more Philosophical approach. Given a measure of distance between two...
- I reckon it describes a non-commutative relationship between two objects (or events) which is completely determined by their position in some (meas...
- Take the tangent vector at the start of the shortest path between a pair of distinct points, and mod out by distance. What you have left is "direc...
- Simply: Points are well defined in a space (e.g Euclidean space). Now consider two points. One can assign two information to these two points 1) d...
- Man, some of the answers are way of the heads of morons like me, but anyway... At a basic level, a vector is construced from the difference between...
- There is no reference to “direction” of a vector in the definition of a vector or vector space. However, we may have various examples of vector spa...
- Representing Vectors
- Conventions For Describing Directions of Vectors
- Representing The Magnitude of A Vector
Vector quantities are often represented by scaled vector diagrams. Vector diagrams depict a vector by use of an arrow drawn to scale in a specific direction. Vector diagrams were introduced and used in earlier units to depict the forces acting upon an object. Such diagrams are commonly called as free-body diagrams. An example of a scaled vector dia...
Vectors can be directed due East, due West, due South, and due North. But some vectors are directed northeast (at a 45 degree angle); and some vectors are even directed northeast, yet more north than east. Thus, there is a clear need for some form of a convention for identifying the direction of a vector that is notdue East, due West, due South, or...
The magnitude of a vector in a scaled vector diagram is depicted by the length of the arrow. The arrow is drawn a precise length in accordance with a chosen scale. For example, the diagram at the right shows a vector with a magnitude of 20 miles. Since the scale used for constructing the diagram is 1 cm = 5 miles, the vector arrow is drawn with a l...
Vector, in physics, a quantity that has both magnitude and direction. It is typically represented by an arrow whose direction is the same as that of the quantity and whose length is proportional to the quantity’s magnitude. Although a vector has magnitude and direction, it does not have position.
- The Editors of Encyclopaedia Britannica
To assign numbers and/or direction to these quantities, we need to define an axis with a positive and a negative direction. We also need to define an origin, or O . In Figure 2.6 , the axis is in a straight line with home at zero and school in the positive direction.
Vectors are geometric representations of magnitude and direction which are often represented by straight arrows, starting at one point on a coordinate axis and ending at a different point. All vectors have a length, called the magnitude, which represents some quality of interest so that the vector may be compared to another vector.
Nov 1, 2012 · Direction is the location of something relative to something else. Direction can be described in relative terms that compare the position of something to another object, such as up, down, in, out, left, right, forward, backward, or sideways.
May 23, 2017 · 0. The term "sense" in the context of mathematics gives a sign (positive or negative) to a real number. The "sense" is the resultant value of the signum function. The term "vector direction" describes which way the vector is pointing when described on a two-dimensional coordinate plane.
