(a) Vector Ë has magnitude 17.0 cm and is directed 27.0° counterclockwise from the +x axis. Express it in unit-vector notation. (b) Vector F has magnitude 17.0 cm and is directed 27.0° counterclockwise from the +y axis. Express it in unit-vector notation. (c) Vector Ğ has magnitude 17.0 cm and is directed 27.0° clockwise from the -y axis. Express it 3. in unit-vector notation. d) Find Ē+F+Ğ in unit vector notation

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Chapter3: Vectors
Section: Chapter Questions
Problem 3.41P: Express in unit-vector notation the following vectors, each of which has magnitude 17.0 cm. (a)...
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I would like help with part d) please as I am not sure how to answer
(a) Vector Ē has magnitude 17.0 cm and is directed 27.0° counterclockwise
from the +x axis. Express it in unit-vector notation. (b) Vector F has magnitude 17.0 cm and
is directed 27.0° counterclockwise from the +y axis. Express it in unit-vector notation. (c)
Vector Ğ has magnitude 17.0 cm and is directed 27.0° clockwise from the -y axis. Express it
3.
in unit-vector notation.
= d) Find Ē+F+G in unit vector notation
17cos27î + 17sin27ĵ = 15.15î + 7.72)
%3D
Here both components are positive as E lies in first quadrant
b}F = –17sin27î + 17cos27ĵ = –7.72î + 15.15)
%3D
Here the F lies in second quadrant so y-component is positive and x-component is negative.
9G = -17sin27î – 17cos27ĵ = –7.72î – 15.15)
%3D
Here the G lies in third quadrant so both x-component and y-component are negative.
Transcribed Image Text:(a) Vector Ē has magnitude 17.0 cm and is directed 27.0° counterclockwise from the +x axis. Express it in unit-vector notation. (b) Vector F has magnitude 17.0 cm and is directed 27.0° counterclockwise from the +y axis. Express it in unit-vector notation. (c) Vector Ğ has magnitude 17.0 cm and is directed 27.0° clockwise from the -y axis. Express it 3. in unit-vector notation. = d) Find Ē+F+G in unit vector notation 17cos27î + 17sin27ĵ = 15.15î + 7.72) %3D Here both components are positive as E lies in first quadrant b}F = –17sin27î + 17cos27ĵ = –7.72î + 15.15) %3D Here the F lies in second quadrant so y-component is positive and x-component is negative. 9G = -17sin27î – 17cos27ĵ = –7.72î – 15.15) %3D Here the G lies in third quadrant so both x-component and y-component are negative.
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