A more thorough explanation:

Definition: Nonjury is an adjective used to describe a legal matter that is determined by a judicial officer, such as a judge, rather than a jury.

For example, if a plaintiff asks for a nonjury trial, it means they are requesting that the case be decided by a judge rather than a jury.

A nonjury trial is a legal proceeding where a judge decides the outcome of a case instead of a jury. It is also known as a bench trial.

For example, in a nonjury trial, the judge listens to the evidence presented by both sides and makes a decision based on the law and the facts of the case.

Definition: Nonjusticiable is an adjective used to describe a legal matter that is not proper for judicial determination.

For example, if a controversy is nonjusticiable, it means that it cannot be resolved by a court because none of the parties have suffered any harm.

A nonjusticiable question is a legal matter that cannot be resolved by a court because it is a political question.

For example, if a court is asked to decide a nonjusticiable question, such as whether a president's foreign policy decisions are constitutional, the court will likely decline to hear the case because it is not within their jurisdiction to decide political questions.