Problem 6
Question
The directed line segment whose initial point is the origin is said to be in ________ ________ .
Step-by-Step Solution
Verified Answer
Position Vector
1Step 1: Understand the terminologies
When referring to directed line segments in a two or three-dimensional space, the common terms that might come into place include 'origin', 'initial point', and 'terminal point'. The 'origin' is the point where coordinates are (0,0) or (0,0,0) for a two-dimensional and a three-dimensional space respectively. An 'initial point' is the starting point of a vector or a directed line segment, whereas the 'terminal point' is the ending point.
2Step 2: Analyze the description
The exercise refers to a line segment starting from origin. In terms of vectors, a line segment with an initial point in origin can be referred to as a position vector.
3Step 3: Final Conclusion
The term best describing a directed line segment whose initial point is at the origin is 'Position Vector'.
Other exercises in this chapter
Problem 5
In order to show that two vectors are equivalent, you must show that they have the same ________ and the same ________ .
View solution Problem 6
In Exercises 5-10, plot the complex number and find its absolute value. \(5 - 12i\)
View solution Problem 7
In Exercises 5-10, plot the complex number and find its absolute value. \(-7i\)
View solution Problem 7
In Exercises 7-14, find the dot product of \(\mathbf{u}\) and \(\mathbf{v}\). \(\mathbf{u} = \langle 7, 1 \rangle\) \(\mathbf{v} = \langle -3, 2 \rangle\)
View solution