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)#?

1 Answer

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