   Chapter 11.1, Problem 9E

Chapter
Section
Textbook Problem

# Writing a Vector in Different Forms In Exercises 9-16. the initial and terminal points of a vector v are given, (a) Sketch the given directed line segment, (b) Write the vector in component form,(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.Terminal Initial Point ( 2 , 0 ) ( 5 , 5 )

(a)

To determine

To graph: Sketch the given directed line segment

Explanation

Given: Initial point (2,0), terminal point (5,5)

Graph:

We mark the point (2,0) and (5,5) on the graph and then join the two points with a straight line. As (2,0) is the initial point, so the direction of the arrow will

(b)

To determine
The vector is component form

(c)

To determine
Write the vector as linear combination of i andj.

(d)

To determine

To graph: Sketch the vector with initial points at origin.

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