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

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Answer 1 · 2016-01-17T20:17:36

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

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 $(0,5)$ .

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