Answer:
See below
Explanation:
From the segment BD, I will consider the point B as the begin and D as the end of the vector, therefore
![\overrightarrow{BD} = \vec{v}](https://img.qammunity.org/2021/formulas/mathematics/high-school/vj6akze6j4vq5p7f16aoh09c2z8h9rug4r.png)
Once you want a segment that is twice as long as the given segment, we may say that the magnitude of the vector is
![||2\vec{v} || = √((2x)^2 + (2y)^2) = \boxed{ √(4x^2 + 4y^2) }](https://img.qammunity.org/2021/formulas/mathematics/high-school/fx7f6xr2oxa6t4645yf2bw050frsp3t9vr.png)
Note: I'm assuming
, which means the segment is in the plain.