can the sum of two vectors be a scalar ? can it be a numeric

Dear Student,

The sum of two vector always be a vector. For example :
$$\begin{gathered} A=2 \stackrel{\wedge }{i}+5 \stackrel{\wedge }{j} \\ B=3 \stackrel{\wedge }{i}+6 \stackrel{\wedge }{j} \\ A+B=\left(2+3\right) \stackrel{\wedge }{i}+\left(5+6\right) \stackrel{\wedge }{j} \\ A+B=5 \stackrel{\wedge }{i}+11 \stackrel{\wedge }{j} \end{gathered}$$

Regards