What are the components of the vector between the origin and the polar coordinate #(1, (3pi)/2)#?

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Answer 1 · 2017-10-27T20:52:38

#0i - j#

We need to convert the polar coordinates to Cartesian coordinates. This makes it easy to find the component vectors #i# and #j#.

To convert we use the fact that the #x and y# coordinate is:

#x=rcos(theta)#

#y = rsin(theta)#

#x = cos((3pi)/2)= 0#

#y= sin((3pi)/2)=-1#

#( 0 , -1 )#

component vectors are:

#0i - j#