What are the components of the vector between the origin and the polar coordinate $(7, \frac{3 π}{2})$ $(7, (3pi)/2)$ ?

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Answer 1 · 2017-04-03T16:50:48

$\to v = (r cos (θ)) ˆ i + (r sin (θ)) ˆ j$ $vecv = (rcos(theta))hati+ (rsin(theta))hatj$

$\to v = (7 cos (\frac{3 π}{2}))) ˆ i + (7 sin (\frac{3 π}{2})) ˆ j$ $vecv = (7cos((3pi)/2)))hati+ (7sin((3pi)/2))hatj$

$\to v = (0) ˆ i + (- 7) ˆ j$ $vecv = (0)hati+ (-7)hatj$

$\to v = - 7 ˆ j$ $vecv = -7hatj$

What are the components of the vector between the origin and the polar coordinate (7,3π2)(7, (3pi)/2)?