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What are the components of the vector between the origin and the polar coordinate #(-5, (3pi)/2)#?

1 Answer

Jan 17, 2016

The vertical y-component is #5# and there is no horizontal x-component.

Explanation:

For a polar co-ordinate #(r,theta#), we may find the rectangular components #(x,y)# from the transformations :\

#x=rcostheta and y=rsintheta#.

#therefore x=-5cos((3pi)/2)=0#

#y=-5sin((3pi)/2)=5#

Thus the rectangular form is #(0,5)#.

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