polar vector वाक्य
उदाहरण वाक्य
मोबाइल
- From the definition, it is clear that a displacement vector is a polar vector.
- Continuing this way, it is straightforward to classify any vector as either a pseudovector or polar vector.
- A number of quantities in physics behave as pseudovectors rather than polar vectors, including magnetic field and angular velocity.
- With cylindrical co-ordinates, the motion is best described in polar form with components that resemble polar vectors.
- This is an example of a general theorem : The curl of a polar vector is a pseudovector, and vice versa.
- Ordinary vectors are sometimes called " true vectors " or " polar vectors " to distinguish them from pseudovectors.
- The axis of a " binary " ( 180?) rotation quaternion corresponds to the direction of the represented polar vector in such a case.
- The velocity vector is a displacement vector ( a polar vector ) divided by time ( a scalar ), so is also a polar vector.
- The velocity vector is a displacement vector ( a polar vector ) divided by time ( a scalar ), so is also a polar vector.
- Likewise, the momentum vector is the velocity vector ( a polar vector ) times mass ( a scalar ), so is a polar vector.
- Likewise, the momentum vector is the velocity vector ( a polar vector ) times mass ( a scalar ), so is a polar vector.
- Angular momentum is the cross product of a displacement ( a polar vector ) and momentum ( a polar vector ), and is therefore a pseudovector.
- Angular momentum is the cross product of a displacement ( a polar vector ) and momentum ( a polar vector ), and is therefore a pseudovector.
- They better disambiguate axial and polar vectors, that is the quantities represented by them, so it is clearer which operations are allowed and what their results are.
- Relevant is the distinction between axial and polar vectors in vector algebra, which is natural in geometric algebra as the distinction between vectors and bivectors ( elements of grade two ).
- This behavior of cross products is consistent with their definition as vector-like elements that change sign under transformation from a right-handed to a left-handed coordinate system, unlike polar vectors.
- The definition of a " vector " in physics ( including both polar vectors and pseudovectors ) is more specific than the mathematical definition of " vector " ( namely, any element of an abstract vector space ).
- A polar vector can be represented in calculations ( for example, when rotated by a quaternion " similarity transform " ) by a pure imaginary quaternion, with no loss of information, but the two should not be confused.
- For example, the inner product of a polar vector and an axial vector resulting from the cross product in the triple product should result in a pseudoscalar, a result which is more obvious if the calculation is framed as the exterior product of a vector and bivector.
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