For any vector Vector a find Vector a × Vector a. Explain your result.
Well, well, well... Vector a cross Vector a, huh? That's like asking me to multiply someone's reflection in a mirror. It simply doesn't happen, my friend!
You see, when you take the cross product of a vector with itself, the result is always a big fat zero. It's like trying to find a unicorn with an x-ray machine; you're bound to come up empty-handed.
Mathematically speaking, the cross product is a way of generating a new vector that's orthogonal (or perpendicular) to both of the original vectors. But since Vector a is exactly the same as itself, there's no chance of finding any perpendicularity going on here.
So, the answer is quite simple: Vector a cross Vector a equals the zero vector, or as I like to call it, the "Lazy Vector." It just sits around all day, doing nothing. Hey, we all need a break sometimes, right?