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VMariaS [17]
3 years ago
13

True or False? A direction angle will always be a value between -90° and 90°.

Mathematics
1 answer:
Artist 52 [7]3 years ago
8 0

Answer:

  False

Step-by-step explanation:

The short reason the statement is false is, "it depends on what you mean by <em>direction angle</em>".

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 <em>any magnitude</em>. There is no reason for direction to be restricted to values in the range ±90°.

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