What are the components of the vector between the origin and the polar coordinate $(1, \frac{5 π}{8})$ $(1, (5pi)/8)$ ?

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Answer 1 · 2016-05-18T09:47:56

Components of the vector between origin and polar coordinates $(1, \frac{5 π}{8})$ $(1,(5pi)/8)$ are $- 0.3827$ $-0.3827$ and $0.9239$ $0.9239$ .

Components of the vector between origin and polar coordinates $(r, θ)$ $(r,theta)$ are $r cosh η$ $rcosheta$ and $r sin θ$ $rsintheta$ .

Hence components of the vector between origin and polar coordinates $(1, \frac{5 π}{8})$ $(1,(5pi)/8)$ are

$1 \times cos (\frac{5 π}{8})$ $1xxcos((5pi)/8)$ and $1 \times sin (\frac{5 π}{8})$ $1xxsin((5pi)/8)$ or

$cos (\frac{5 π}{8})$ $cos((5pi)/8)$ and $sin (\frac{5 π}{8})$ $sin((5pi)/8)$ or

$- 0.3827$ $-0.3827$ and $0.9239$ $0.9239$

What are the components of the vector between the origin and the polar coordinate (1, (5pi)/8)(1,5π8)(1, (5pi)/8)?