Answer
True
Work Step by Step
If $x_1$ and $x_2$ are orthogonal,
then applying the Gram-Schmidt Process
$v_1=x_1\\
v_2=(x_1+x_2)-\frac{}{||v_1||^2}v_1\\
=x_1+x_2-\frac{}{||x_1||^2}x_1\\
=x_1+x_2-\frac{+}{||x_1||^2}x_1\\
=x_1+x_2-\frac{||x_1||^2}{||x_1||^2}x_1\\
=x_1+x_2-x_1\\
=x_1$
Hence, $\{v_1,v_2\}=\{x_1,x_2\}$
The statement is true.
