In the context of geometric vectors, which of the following best describes orthogonal lines?

In circle O, if chord $AE$ has length $7$ units and passes through the center O, what is the radius of the circle?

Given two lines $a$ and $d$ that are non-coplanar, which of the following best describes their relationship?

Point A is the center of a circle. If the ratio of the lengths of $\left|\overrightarrow{\mathrm{OA}}\right|$ to $\left|\overrightarrow{\mathrm{OB}}\right|$ is $2:1$, what is the ratio of the areas of the circles with radii $\left|\overrightarrow{\mathrm{OA}}\right|$ and $\left|\overrightarrow{\mathrm{OB}}\right|$?

In the context of geometric vectors, what is the term for points that lie on the same plane?

Triangle xyz is dilated by a scale factor of $3$ centered at the origin. If the original length of side $xy$ is $5$ units, what is the length of side $xy$ after the transformation?

If you draw all possible diagonals from a single vertex of a regular $decagon$, how many distinct triangles can be formed using that vertex and two other vertices of the $decagon$?

Given the vectors $u=(3,2)$ and $v=(1,5)$, which of the following lists the correct components for $u$, $v$, $u+v$, and $u-v$ in that order?

Given the line with parametric equations $x=1+2t$, $y=3-t$, $z=4+5t$, find the perpendicular distance from the point $(2,1,0)$ to the line.