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Calcmathlete
 2 years ago
How would you do the cross product of a twodimensional vector? I've done threedimensional ones, but not twodimensional ones.
Calcmathlete
 2 years ago
How would you do the cross product of a twodimensional vector? I've done threedimensional ones, but not twodimensional ones.

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oldrin.bataku
 2 years ago
Best ResponseYou've already chosen the best response.1The cross product is not defined in R^2.

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.0Then would I just say that there is no cross product?

oldrin.bataku
 2 years ago
Best ResponseYou've already chosen the best response.1Sorta  the cross product is not even applicable :) ... unless you want a threedimensional cross product, in which case you mean the vectors have an implicit zero component, e.g. \[u=ai+bj+0k\\ v = ci + dj + 0k\] You can find the threedimensional cross product, which makes sense  it's merely the surface normal to the plane defined.\[u \times v = (ad  bc)k\]

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.0Oh ok. So if I were to have this problem, (the actual problem), let vector a = < 1, 2 > and vector b = < 3, 4 >. FInd the magnitude of vector c if vector c = vector a x vector b. Would it 2?

oldrin.bataku
 2 years ago
Best ResponseYou've already chosen the best response.1It is wholly dependent on whether it expects you to do it in R^3  if not, then the question is silly because the cross product is not defined for R^2.
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