Answer
1) No
2) Yes
Work Step by Step
1)
a) A number can be negative . A vector cannot be negative .
It has its magnitude and its directions .
What could happen is that its directions is opposite to a pre-determined directions , that would be comparing it to another vector.
A vector being negative ( without reference to another vector ) don't make any sense.
2)
b) This make some sense.
For example: Take any Vector A ⃗. Then define Vector B ⃗ with its tail at head of A ⃗ , and its head at the tail of A ⃗.
So there sum will be Zero (0).
A ⃗+B ⃗=0
This makes sense to write
A ⃗=-B ⃗
So , This does not contradict what we concluded in part (a)
As, we were comparing two vectors in this question.
Thus , The vector in part (a) has no other vector to reference .