Are collinear vectors parallel or collinear

Are collinear vectors parallel or collinear


It means parallel or coincident



High number: I don't understand the anti commutative law of vector. Explain it to me
It's a × B = - B × a
Why add a minus sign? How to understand it by using the definition of vector product?
Don't ask for more, just explain it. But explain it clearly. Thanks, give points if you understand


Because the direction of vector multiplication is defined by the right-hand helix rule, and the four fingers bend from the first vector direction to the second vector direction, so their directions are opposite, so they have a negative sign. Give me a score



How to prove the combination law and distribution law of vector addition?


Drawing, using the triangle rule of vector addition can be proved
According to the one-to-one correspondence between vector and complex number, since complex number addition satisfies the associative law, vector addition also has associative law