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حاصل ضرب كميتين موجهتين - translation to English
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>)](https://commons.wikimedia.org/wiki/Special:FilePath/3D Vector.svg?width=200 "[[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>)")
![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).](https://commons.wikimedia.org/wiki/Special:FilePath/Cross product scalar multiplication.svg?width=200 "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.](https://commons.wikimedia.org/wiki/Special:FilePath/Cross product triple.svg?width=200 "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.](https://commons.wikimedia.org/wiki/Special:FilePath/Exterior calc cross product.svg?width=200 "The cross product in relation to the exterior product. In red are the orthogonal [[unit vector]], and the \"parallel\" unit bivector.")
![Finding the direction of the cross product by the [[right-hand rule]]](https://commons.wikimedia.org/wiki/Special:FilePath/Right hand rule cross product.svg?width=200 "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](https://commons.wikimedia.org/wiki/Special:FilePath/Sarrus rule.svg?width=200 "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
عملية رياضية
الضرب; عملية الضرب الحسابية; Multiplication; ∏; ⋅;
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