tangent vector sentence in Hindi
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- As an example suppose X is a timelike tangent vector with respect to the \, g metric.
- Thus the length of a tangent vector cannot be defined, but the angle between two vectors still can.
- Is a tangent vector to " C " in curvilinear coordinates ( using the chain rule ).
- In modern terminology virtual displacement is a tangent vector to the manifold representing the constraints at a fixed time.
- There is an associated notion of Carath�odory length for tangent vectors to the ball " B ".
- More strictly this defines an affine tangent space, distinct from the space of tangent vectors described by modern terminology.
- To get the angle, we need the tangent vectors and at along the directions of sides and, respectively.
- Therefore, all tangent vectors in a point p span a linear space, called the tangent space at point p.
- This means that the directional derivative depends only on the tangent vector of the curve at " p ".
- Though, for a curve whose tangent vectors all have the same sign of magnitude, the arc length is defined.
- This representation of a vector field depends on the coordinate system, and there is a well-defined tangent vector ).
- *As indicated previously, the 1-jet of a curve through " p " is a tangent vector.
- These basis vectors are by definition the tangent vectors of the curves obtained by varying one coordinate, keeping the others fixed:
- At each point in M the timelike tangent vectors in the point's tangent space can be divided into two classes.
- Notice that velocity always points in the direction of motion, in other words for a curved path it is the tangent vector.
- The sum of two vectors is again a tangent vector to some other curve and the same holds for multiplying by a scalar.
- The initial tangent vector is parallel transported to each tangent along the curve; thus the curve is, indeed, a geodesic.
- This is an " n "-dimensional Euclidean space consisting of the tangent vectors of the curves through the point.
- A four-velocity is thus the normalized future-directed timelike tangent vector to a world line, and is a contravariant vector.
- So far a world line ( and the concept of tangent vectors ) has been described without a means of quantifying the interval between events.
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