What are the components of the vector between the origin and the polar coordinate $(1, pi/4)$ ?

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What are the components of the vector between the origin and the polar coordinate $(1, pi/4)$ ?

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Answer 1 · 2016-04-06T13:18:54

If Polar coordinate is $(r,theta)$
The n the vector , $vecV=rcosthetahati+rsinthetahatj$
Here $r = 1 and theta = pi/4$
Hence
, $vecV=1xxcos(pi/4)hati+1xxsin(pi/4)hatj=1/sqrt2(hati+hatj)$

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What are the components of the vector between the origin and the polar coordinate $(1, pi/4)$ ?

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What are the components of the vector between the origin and the polar coordinate (1, pi/4)(1, pi/4)?

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What are the components of the vector between the origin and the polar coordinate $(1, pi/4)$ ?