What are the components of the vector between the origin and the polar coordinate $(3, \frac{5 π}{12})$ $(3, (5pi)/12)$ ?

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Answer 1 · 2016-10-08T18:50:20

$¯ v = 3 cos (\frac{5 π}{12}) ˆ i + 3 sin (\frac{5 π}{12}) ˆ j$ $barv = 3cos((5pi)/12)hati + 3sin((5pi)/12)hatj$

let $¯ v$ $barv$ be the vector with components $v_{x} ˆ i + v_{y} ˆ j$ $v_xhati + v_yhat j$

$v_{x} = 3 cos (\frac{5 π}{12})$ $v_x = 3cos((5pi)/12)$

$v_{y} = 3 sin (\frac{5 π}{12})$ $v_y = 3sin((5pi)/12)$

$¯ v = 3 cos (\frac{5 π}{12}) ˆ i + 3 sin (\frac{5 π}{12}) ˆ j$ $barv = 3cos((5pi)/12)hati + 3sin((5pi)/12)hatj$

What are the components of the vector between the origin and the polar coordinate (3, (5pi)/12)(3,5π12)(3, (5pi)/12)?