Precalculus with Limits: A Graphing Approach, Sixth Edition
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Precalculus with Limits: A Graphing Approach, Sixth Edition View details
3. Vectors in the Plane
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Exercise 1 Page 429

An arrow-like segment can represent both magnitude and direction. Try to recall the term used in mathematics to describe this.

directed line segment

We are asked to complete the following statement.

A can be used to represent a quantity that involves both magnitude and direction.

Let's first imagine that a ball is laying at the floor and we want to move it to a certain point.

To describe this movement, we cannot just say move the ball 3 meters because this does not specify in which direction to move it. Real numbers are not enough to describe both magnitude and direction. This is where directed line segments come in handy. We can represent the movement of the ball with the following segment.

Now, let's complete the given statement.

A directed line segment can be used to represent a quantity that involves both magnitude and direction.