Let \( V=\{(a, b) \mid a, b \in \mathbb{R}\} \), vector addition \( (+) \) and scalar multiplication \( (\cdot) \) be defined as follows: For any \( \alpha \in \mathbb{R} \) and \( \left(a_{1}, b_{1}\right),\left(a_{2}, b_{2}\right) \in V \) 1) \( \left(a_{1}, b_{1}\right)+\left(a_{2}, b_{2}\right)=\left(a_{1}+a_{2}, b_{1}+b_{2}\right) \) 2) \( \alpha \cdot\left(a_{1}, b_{1}\right)=\left(\alpha^{2} a_{1}, \alpha^{2} b_{1}\right) \) Is \( (V, \mathbb{R},+, \cdot) \) a vector space? Explain your answer.

15.8 Choose the best answer. If \( E(p)>1 \) then, (a) A percent increase in price will result in a larger percent decrease in demand. (b) A percent increase in price will result in the same percent decrease in demand (c) A percent increase in price will result in a smaller percent decrease in demand (d) None of the above.

4.) What is the next (and final) step before the amendment becomes part of the "supreme law of the land?"

Westside' and 'Westcoast' hand signs [GENERAL / AMERICA].

Suffrage Wins in Senate; Now Goes to States is this a primary or secondary source? why do you think so?

Encuentre una base ortonormal en \( \mathrm{R}^{2} \) que incluya al vector \( v=\binom{5}{2} \).