Anyone have an easy way for computing cross-products? I came across:
a x b = A_(x)b = [[0, -a_3, a_2],[a_3, 0, -a_1],[-a_2, a_1, 0]] multiplied with vector [b_1, b_2, b_3].
which seems very useful.
My book attempts to solve it by using determinants;
Also, if we have two vectors, a and b, in R^2, is a x b defined?
I've only seen this done with vectors in R^3.
Lastly, if we have two vectors a and b, I'm assuming those vectors are related to the a x b where their product is = 0, thus they're orthogonal?
Thanks.
Hello, Ideasman!
I prefer the determinant method.Anyone have an easy way for computing cross-products?
I came across:
. which seems very useful.
My book attempts to solve it by using determinants.
I already know how to evaluate a 3-by-3 determinant.
. . Why would I want to memorize this new (and very strange) formula?
Not in .Also, if we have two vectors, and in , is defined?
is perpendicular to both and . .It is automatically in .
If we have two vectors and ,
I'm assuming those vectors are related to the
where their product is = 0, thus they're orthogonal?
Sorry, this makes no sense.
Are these are any two vectors?
. . Then you mention their cross product . . . why?
"Their product is zero" . . . What product? .Dot product? .Cross product?
If their cross product is zero, the vectors are parallel.
If their dot product is zero, the vectors are orthogonal.
So what exactly is your question?