Question2. Determine whether the following sets $V_{1}$ and $V_{2}$ correspond to vector spaces by verifying the 10 axioms. b) Let $V_{2}=\mathbb{R}^{+}$and define addition and scaler multiplication as follows: If $\vec{a}=a$ and $\vec{b}=b$ (for $a, b \in \mathbb{R}^{+}$) then define $$\vec{a} \oplus \vec{b}=a \cdot b$$
And if $c \in \mathbb{R}$, then define $$c \odot \vec{a}=a^{c} .$$