1.

1. (a) T

2. (b) T

3. (c) T

4. (d) F

5. (e) F

6. (f) T

7. (g) T

8. (h) F

9. (i) T

10. (j) F

3.

1. (b) $\left\{t\left(\begin{array}{r}\sqrt{3}\\ 1\end{array}\right):t\in R\right\}$

4.

1. (b) $\left\{t\left(\begin{array}{r}1\\ 0\end{array}\right):t\in R\right\}\text{ if }\varphi =0\text{ and }\left\{t\left(\begin{array}{c}\cos \varphi +1\\ \sin \varphi \end{array}\right):t\in R\right\}\text{ if }\varphi =0$