planes a and b are shown. if a new line, p, is drawn parallel to line l, which statement is true? line p must be drawn in plane b. line p must be perpendicular to line m. line p must be drawn so that it can lie in the same plane as line l. line p must be drawn in the same plane as line n.

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# Brief Explanations:
- Analyze each option:
    - Option 1: A line parallel to line $l$ does not have to be in plane $B$. Parallel lines can be in different planes as long as they do not intersect and have the same direction.
    - Option 2: There is no information given that line $p$ (parallel to $l$) must be perpendicular to line $m$. Just because $p\parallel l$, we cannot assume a perpendicular relationship with $m$ without more geometric constraints (like $l\perp m$ which is not stated).
    - Option 3: By the definition of parallel lines in geometry (in a three - dimensional space),  two parallel lines can lie in the same plane. If we consider the properties of parallel lines, we can construct line $p$ parallel to $l$ such that they are coplanar.
    - Option 4: There is no requirement that line $p$ (parallel to $l$) must be in the same plane as line $n$. Line $n$ is in plane $B$ and $l$ is in plane $A$, and parallelism of $p$ and $l$ does not force $p$ into plane $B$ (where $n$ is).

# Answer:
Line $p$ must be drawn so that it can lie in the same plane as line $l$.

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