   Chapter 11.1, Problem 14E

Chapter
Section
Textbook Problem

# Writing a Vector in Different Forms to Exercises 9-16, the initial and terminal points of a vector v are given. (a) Sketch the given directed line cement. (b) Write the vector in component forth. (c) Write the vector as the linear combination of the standard unit vectors i and j. (d) Sketch the vector with its initial point at the origin.Initial PointTerminal Point ( 7 ,   − 1 ) ( − 3 ,   − 1 )

a)

To determine
The directed line segment.

Explanation

Given: Initial point (7,-1) and terminal point (-3,-1).

Explanation:

b)

To determine
The component form from the vector form.

c)

To determine
The vector as linear combination of i and j.

d)

To determine
The vector origin an initial points.

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