scalar factor transfer rules
The different kinds of products between two Euclidean vectors may an additional scalar as factor in either vector factor →u, →v. Then such a scalar r can be transferred from a vector to the other vector and to the whole product. This is true for scalar product,
→u⋅(r→v)=(r→u)⋅→v=r(→u⋅→v), |
for vector product,
→u×(r→v)=(r→u)×→v=r(→u×→v), |
and also for dyad product,
→u(r→v)=(r→u)→v=r(→u→v). |
Title | scalar factor transfer rules |
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Canonical name | ScalarFactorTransferRules |
Date of creation | 2013-03-22 15:26:41 |
Last modified on | 2013-03-22 15:26:41 |
Owner | pahio (2872) |
Last modified by | pahio (2872) |
Numerical id | 5 |
Author | pahio (2872) |
Entry type | Topic |
Classification | msc 15A72 |
Synonym | transfer rules of scalar factor |