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Also for dengue fever, for filaria worms, and other such nightmares.
Yes, of course. Oh, and I confused my terminology anyway, because I was meaning to mention multiplying a vector by a scalar, which is a different thing to both the cross and dot products. Oops, it’s been about 11 years since I got my degree in Maths. xD
Not to mention linear combination, which can be used with matrices and scalars.
I’m actually in first year uni myself, I almost failed Linear Algebra in the first semester even though I found it really interesting.
1.) You can only take the dot product of two vectors, and specifically two vectors of the same length. The only vector with which you could multiply a scalar using the dot product would be a vector of one component, under the loose identification of such vectors with the underlying scalars.
2.) Anyway, as you point out, since the joke is that you can’t cross them, the joke stands.
3.) I have told this actual joke in my math class this semester.
There is a slight problem with this joke though, in that a vector and a scalar CAN be multipled together via the dot product, rather than the cross product. Although I suppose now that I think about it, the word “cross” in the punchline is referring to the cross product specifically, not to the general notion of multiplication (which also includes the dot product).
Ahhh, Matrix Algebra classes in 1st year uni. That takes me back. xD
Actually, the mosquito is a vector for malaria. A vector in this context means that they carry the disease and infect other animals with it (by biting).
I know that a mountain climber is a scaler, but I think that it might’ve maybe been more obvious that there’s a play-on-words going on if you used “scalar” in the punchline.
Also you can cross a vector with a scalar in mathematics. Each component of the vector is multipled by the scalar and gives you a resulting vector with the same direction and n times the magnitude. Sorry. :)
It’s a math joke.
The cross product operation is only interpreted using two three tuples (3D vectors in layman’s terms) as operands, and the result is another three tuple that is perpendicular to the two operand vectors.
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