What are the components of the vector between the origin and the polar coordinate $(- 4, \frac{4 π}{3})$ $(-4, (4pi)/3)$ ?

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What are the components of the vector between the origin and the polar coordinate $(- 4, \frac{4 π}{3})$ $(-4, (4pi)/3)$ ?

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Answer 1 · 2016-03-21T15:57:20

$- 4 cos (4 \frac{π}{3}) ˆ i - 4 sin (4 \frac{π}{3}) ˆ i = - 4 \cdot (- \frac{\sqrt{3}}{2}) ˆ i - 4 (- \frac{1}{2}) ˆ j$ $-4cos(4pi/3)hati-4sin(4pi/3)hati=-4*(-sqrt3/2)hati-4(-1/2)hatj$
$= 4 \sqrt{3} ˆ i + 2 ˆ j$ $=4sqrt3hati+2hatj$

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What are the components of the vector between the origin and the polar coordinate $(- 4, \frac{4 π}{3})$ $(-4, (4pi)/3)$ ?

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What are the components of the vector between the origin and the polar coordinate $(- 4, \frac{4 π}{3})$ $(-4, (4pi)/3)$ ?