Question

(a) is 0 vector
unique ?​

Answer 1

We define a vector as an object with a length and a direction. However, there is one important exception to vectors having a direction: the zero vector, i.e., the unique vector having zero length. With no length, the zero vector is not pointing in any particular direction, so it has an undefined direction.

hope it helps u.......

Answer 2

$\huge\fcolorbox{aqua}{cyan}{\huge\underline{YES}}$

0′ are both zeros. Then, for any v,

v+0=v+0′. Now, the vectors in V are an additive group so that v has an inverse -v. Add -v to both sides and it follows that 0=0′.