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:

$0i - j$

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