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

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

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Answer 1 · 2016-02-28T11:28:47

$((3.5),(-6.062))$

Explanation:

To convert from Polar to Cartesian coordinates use the formulae that link them.

$• x = rcostheta$

$• y = rsintheta$

Here r = 7 and $theta = (-pi/3)$

hence $x = 7cos(-pi/3) = 3.5$

and $y = 7sin(-pi/3) ≈ - 6.062$

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

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Explanation:

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