Answer:
False
Explanation:
The short reason the statement is false is, "it depends on what you mean by direction angle".
The long reason the statement is false is that "direction angle" sometimes refers to a navigation direction that is specified in terms of compass directions. For example, you might have N20°E, or S80°E. The angle measure in such directions is 0 to 90°. It does not take on a negative value when the direction is expressed in the standard form, an angle east or west from north or south.
An arbitrary vector is an expression that has a magnitude and direction. Such a quantity can have either or both values be positive or negative and of any magnitude. There is no reason for direction to be restricted to values in the range ±90°.