What are the components of the vector between the origin and the polar coordinate (12, (3pi)/2)?

1 Answer
Jim G.
Aug 4, 2016

((0),(-12))

Explanation:

To convert from color(blue)"polar to cartesian coordinates"

color(orange)"Reminder"

color(red)(|bar(ul(color(white)(a/a)color(black)(x=rcostheta , y=rsintheta)color(white)(a/a)|)))

here r = 12 and theta=(3pi)/2

rArrx=12cos((3pi)/2)=0

and y=12sin((3pi)/2)=-12

Thus the components of the vector =((0),(-12))

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