What are the components of the vector between the origin and the polar coordinate $(2, (19pi)/12)$ ?

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What are the components of the vector between the origin and the polar coordinate $(2, (19pi)/12)$ ?

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Answer 1 · 2016-03-12T23:41:45

$=>vecA=2cos(5pi/12)hati-2sin(5pi/12)hatj$

Explanation:

If polar coordinate of a position vector $vecA$ w.r.t origin is $(r,theta)$ then $vecA=rcosthetahati+rsinthetahatj$
In our problem $r=2 andtheta =19pi/12$

so $vecA=2cos(19pi/12)hati+2sin(19pi/12)hatj$
$=>vecA=2cos(2pi-5pi/12)hati+2sin(2pi-5pi/12)hatj$
$=>vecA=2cos(5pi/12)hati-2sin(5pi/12)hatj$

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What are the components of the vector between the origin and the polar coordinate $(2, (19pi)/12)$ ?

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Explanation:

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What are the components of the vector between the origin and the polar coordinate (2, (19pi)/12)(2, (19pi)/12)?

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What are the components of the vector between the origin and the polar coordinate $(2, (19pi)/12)$ ?