Translation for "a c a" to finnish

A c a

• c

Translation examples

c

It has 1 bedroom with a 2-gang bed, wardrobes, 2 a / c, a large living room with sofa-bed 2-gang, one chair-bed, and another 1 single bed (foldable) for one more person, TV-Wi-Fi.
Se on 1 makuuhuone, jossa 2-osainen sänky, vaatekaapit, 2 / c, iso olohuone vuodesohva 2-osainen, yksi tuoli-vuode, ja toinen 1 sänky (taitettava) varten yksi henkilö, TV-Wi-Fi.

The self cross product of a vector is the zero vector: a × a = 0 {\displaystyle \mathbf {a} \times \mathbf {a} =\mathbf {0} } The cross product is anticommutative, a × b = − ( b × a ) , {\displaystyle \mathbf {a} \times \mathbf {b} =-(\mathbf {b} \times \mathbf {a} ),} distributive over addition, a × ( b + c ) = ( a × b ) + ( a × c ) , {\displaystyle \mathbf {a} \times (\mathbf {b} +\mathbf {c} )=(\mathbf {a} \times \mathbf {b} )+(\mathbf {a} \times \mathbf {c} ),} and compatible with scalar multiplication so that ( r a ) × b = a × ( r b ) = r ( a × b ) . {\displaystyle (r\mathbf {a} )\times \mathbf {b} =\mathbf {a} \times (r\mathbf {b} )=r(\mathbf {a} \times \mathbf {b} ).} It is not associative, but satisfies the Jacobi identity: a × ( b × c ) + b × ( c × a ) + c × ( a × b ) = 0 . {\displaystyle \mathbf {a} \times (\mathbf {b} \times \mathbf {c} )+\mathbf {b} \times (\mathbf {c} \times \mathbf {a} )+\mathbf {c} \times (\mathbf {a} \times \mathbf {b} )=\mathbf {0} .} Distributivity, linearity and Jacobi identity show that the R3 vector space together with vector addition and the cross product forms a Lie algebra, the Lie algebra of the real orthogonal group in 3 dimensions, SO(3).
Ristitulo on anti­kommuta­tiivinen: a × b = − ( b × a ) . {\displaystyle \mathbf {a} \times \mathbf {b} =-(\mathbf {b} \times \mathbf {a} ).} Ristitulo noudattaa osittelulakia yhteen­laskun suhteen: a × ( b + c ) = ( a × b ) + ( a × c ) , {\displaystyle \mathbf {a} \times (\mathbf {b} +\mathbf {c} )=(\mathbf {a} \times \mathbf {b} )+(\mathbf {a} \times \mathbf {c} ),} Jos ristitulon jompikumpi tekijä kerrotaan skalaarilla, myös ristitulon arvo tulee kerrotuksi samalla skalaarilla: ( r a ) × b = a × ( r b ) = r ( a × b ) . {\displaystyle (r\mathbf {a} )\times \mathbf {b} =\mathbf {a} \times (r\mathbf {b} )=r(\mathbf {a} \times \mathbf {b} ).} Ristitulo ei ole liitännäinen, mutta sille pätee Jacobin identiteetti: a × ( b × c ) + b × ( c × a ) + c × ( a × b ) = 0 . {\displaystyle \mathbf {a} \times (\mathbf {b} \times \mathbf {c} )+\mathbf {b} \times (\mathbf {c} \times \mathbf {a} )+\mathbf {c} \times (\mathbf {a} \times \mathbf {b} )=\mathbf {0} .} Osoittelulaki, lineaarisuus ja Jacobin identiteetti osoittavat, että vektoriavaruus R 3 {\displaystyle \mathbb {R} ^{3}} varustettuna vektorien yhteen­laskulla ja risti­tulolla on Lien algebra, tarkemmin sanottuna kolmi­ulotteisen reaalisen orto­gonaalisen ryhmän Lien algebra SO(3).