Answer:
1) False
2) True
3) a) True b) False
4) False
Explanation:
1)
Two-point are collinear if they lie in the same line. The vector -2AB is antiparallel to the vector AB then it is False.
2)
A unit vector could be difinede as:
Terefore,
is a unit vector. It is True.
3)
a) If AB=-3AC
The points, A, B, and C are collinear, because all of them lie in the same line. True
b) Let's take the modulus in each side.
So it is False.
4)
If we put the vector AI = 3/2 AB into the first equation we will have:
And we can not say that it is a cero vector, so it is False.
I hope it helps you!