BF = F,i+ Fj+ F.k a

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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HI I have some problems here. I would like to know the answer to the 3 questions and how you managed to obtain them.
 
To understand Cartesian representations of vectors and how they can be determined from direction and magnitude; to learn how to represent vectors expressed as a product of the component magnitude and the unit direction vectors i, j, and k; and to learn how to represent a vector component as a function of the angle between the vector and the coordinate axis.
As shown, a pole is subjected to three forces: F, P, and T. The force F expressed in Cartesian vector form is F=[8 i+9 j+6 k] N. Force P has magnitude 8.31 N and acts in the direction given by these direction angles: α=104∘, β=15.7∘, and γ=83.1∘ to the xy, and z axes, respectively. Force T lies within the yz plane, its direction is given by the 3-4-5 triangle shown, and its magnitude is 16 N.
 
1) What is the magnitude of F?
 
2) Determine the components of P in the i, j, and k directions.
 
3)What are the Cartesian components of force T? (iN, jN, kN)
BF = F,i+ Fj+ F.k
a
Transcribed Image Text:BF = F,i+ Fj+ F.k a
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