2. Position vector ř defines a location of interest. This vector lives in the plane of the paper. Chosen coordinate System 51° |ř| = 102 m a) Put the i into component form, using the given Cartesian coordinate system. Show all steps to receive full credit. b) Find the unit vector î that describes the direction of ř, in component form using the given Cartesian coordinate system. Show all steps to receive full credit. c) Prove that your answer to (b) is a unit vector by finding |î|. Use the definition of the norm to do so. Show all steps to receive full credit.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 49E
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2. Position vector ř defines a location of interest. This vector lives in
the plane of the paper.
Chosen coordinate System
51°
|7| = 102 m
a) Put the i into component form, using the given Cartesian
coordinate system. Show all steps to receive full credit.
b) Find the unit vector î that describes the direction of ř, in
component form using the given Cartesian coordinate system. Show
all steps to receive full credit.
c) Prove that your answer to (b) is a unit vector by finding |î|. Use the
definition of the norm to do so. Show all steps to receive full credit.
Transcribed Image Text:2. Position vector ř defines a location of interest. This vector lives in the plane of the paper. Chosen coordinate System 51° |7| = 102 m a) Put the i into component form, using the given Cartesian coordinate system. Show all steps to receive full credit. b) Find the unit vector î that describes the direction of ř, in component form using the given Cartesian coordinate system. Show all steps to receive full credit. c) Prove that your answer to (b) is a unit vector by finding |î|. Use the definition of the norm to do so. Show all steps to receive full credit.
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