I am asked this: How can you do the cross product of two-dimensional vectors. Well I would have to guess that you just add a 0 in order to follow the cross product method, but this way there is no third component...is this right?

Answer 1

(ai+bj)X (ci+dj)=ad k + bc (-k)

so the cross product is only in the third direction.

Answer 2

I don't really understand what you mean, sorry. Can you explain it differently?

Answer 3

given the three dimensional unit vectors, i,j,and k, the cross product of ai+bj with ci+dj is as I calculated. See

http://en.wikipedia.org/wiki/Cross_product

Answer 4

The Cross Product gives us the normal vector to the plane that both vector a and vector b lie on.

Answer 5

Therefore, the cross product will always result in 3 dimensions