حاصل ضرب كميتين موجهتين - перевод на Английский
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حاصل ضرب كميتين موجهتين - перевод на Английский


حاصل ضرب كميتين موجهتين      

vector product

vector product         
  • [[Standard basis]] vectors ('''i''', '''j''', '''k''', also denoted '''e'''<sub>1</sub>, '''e'''<sub>2</sub>, '''e'''<sub>3</sub>) and [[vector component]]s of '''a''' ('''a'''<sub>x</sub>, '''a'''<sub>y</sub>, '''a'''<sub>z</sub>, also denoted '''a'''<sub>1</sub>, '''a'''<sub>2</sub>, '''a'''<sub>3</sub>)
  • '''a''' × '''b'''}} (vertical, in purple) changes as the angle between the vectors '''a''' (blue) and '''b''' (red) changes. The cross product is always orthogonal to both vectors, and has magnitude zero when the vectors are parallel and maximum magnitude ‖'''a'''‖‖'''b'''‖ when they are orthogonal.
  • isbn=978-0-07-161545-7}}</ref>
  • Figure 1. The area of a parallelogram as the magnitude of a cross product
  • Cross product [[scalar multiplication]]. '''Left:''' Decomposition of '''b''' into components parallel and perpendicular to '''a'''. Right: Scaling of the perpendicular components by a positive real number ''r'' (if negative, '''b''' and the cross product are reversed).
  • rejection]]. The triple product is in the plane and is rotated as shown.
  • The cross product in relation to the exterior product. In red are the orthogonal [[unit vector]], and the "parallel" unit bivector.
  • Figure 2. Three vectors defining a parallelepiped
  • Finding the direction of the cross product by the [[right-hand rule]]
  • According to [[Sarrus's rule]], the [[determinant]] of a 3×3 matrix involves multiplications between matrix elements identified by crossed diagonals
MATHEMATICAL OPERATION ON TWO VECTORS
Vector product; Vector cross product; Evaluating cross products; Cross Product; Evaluating cross-products; Cross products; Sarrus's scheme; Cross-product; Crossproduct; Vector Product; ⨯; Vectorial product; Cross product matrix; Three-dimensional cross product; Ccw test; Xyzzy (mnemonic); Generalizations of the cross product
حاصل ضرب كميتين موجهتين
ضرب         
  • رمز الضرب في الرياضيات
عملية رياضية
الضرب; عملية الضرب الحسابية; Multiplication; ∏; ⋅; ⁢
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