What are the components of the vector between the origin and the polar coordinate $(9, \frac{3 π}{2})$ $(9, (3pi)/2)$ ?

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Answer 1 · 2016-01-08T00:33:15

$\frac{3 π}{2}$ $(3pi)/2$ is $270^{o}$ $270^o$ with a radius $r = 9$ $r=9$ , so this point lies on the y-axis at the point $(- 9, 0)$ $(-9,0)$

The origin is at the coordinate $(0, 0)$ $(0,0)$

So, assuming the terminal point is $(- 9, 0)$ $(-9,0)$ , then the component vector is $< - 9, 0 >$ $<-9,0>$

If you need this in terms of the unit vectors $i and j$ $i and j$ ...

$v = - 9 i + 0 j = - 9 i$ $v=-9i+0j=-9i$

hope that helped

What are the components of the vector between the origin and the polar coordinate (9,3π2)(9, (3pi)/2)?