   Chapter 11, Problem 14RE

Chapter
Section
Textbook Problem

# Writing a Vector in Different Forms In Exercises 13 and 14, the initial and terminal points of a vector are given, (a) Sketch the directed line segment, (b) Find the component form of the vector, (c) Write the vector using standard unit vector notation, (d) Sketch the vector with its initial point at the origin.Initial point: (6, 2, 0)Terminal point: ( 3 , − 3 , 8 )

(a)

To determine

To graph: A directed line segment.

Explanation

Given:

The initial point is (6,2,0) and the terminal point is (3,3,8).

Sketch:

Let the two points be P (6,2,0) and Q (3,3,8)

(b)

To determine

To find: component form of the vector.

(c)

To determine

To calculate: Thestandard unit vector notation.

(d)

To determine

To graph: The provided vector from its initial point to origin.

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