Suppose v_1 and v_2 are real vectors of length N>3. If we use Gram-Schmidt process, we can find two orthogonal vectors u_1,u_2 such that u_1=v_1 , u_2=v_2−(<v_2,u_1>)/(<u_1,u_1>)u_1 , where <x,y> denotes the inner product between the two vectors x,y. But I am wondering whether it is possible to find a vector z that is mutually orthogonal to v_1,v_2.

Describe all solutions of Ax=0 in parametric vector form, where A is row equivalent to the given matrix
$$\left[\begin{array}{cccc}1& 3& 0& -4\\ 2& 6& 0& -8\end{array}\right]$$

Find, correct to the nearest degree, the three angles of the triangle with the given vertices
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Whether f is a function from Z to R if 
a) ${\displaystyle f\left(n\right)=\pm n}$. 
b) ${\displaystyle f\left(n\right)=\sqrt{n^2+1}}$. 
c) ${\displaystyle f\left(n\right)=\frac{1}{n^2-4}}$.

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The solution set of $\tan <!--\; \; -->\mathrm{\theta <!--\; \theta \; -->}=3\cot <!--\; \; -->\mathrm{\theta <!--\; \theta \; -->}$ is

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