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12.4 Cross product The cross product is defined only for vectors in 3-space, whereas the dot
 

Summary: 12.4 Cross product
The cross product is defined only for vectors in 3-space, whereas the dot
product is defined for vectors in 2-space and 3-space.
Definition
1

u v
u
If 1 2 3, ,u u ,u u= 1 2 3, ,v v then thev v=
cross product of u and v is
3 32 1 1
2 3 1 3 1 2
u uu u u u
u v i j k
v v v v v v
= - + 2
or, equivalently,
2 3 3 2 3 1 1 3 1 2 2 1, ,u v u v u v u v u v u v u v - - -=
v
Question 6/820: If

  

Source: Ansari, Qamrul Hasan - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals

 

Collections: Mathematics