What is the distance between $(2 , (7 pi)/4 )$ and $(8 , (3 pi )/2 )$ ?

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Answer 1 · 2017-06-06T20:13:02

$2 sqrt{17 - 4 sqrt 2}$

$u = (2 cos frac{7 pi}{4}, 2 sin frac{7 pi}{4})$

$u = (2 cos frac{pi}{4}, -2 sin frac{pi}{4}) = (sqrt 2, -sqrt 2)$

$v = (8 cos frac{3 pi}{2}, 8 sin frac{3 pi}{2})$

$v = (0, -8)$

dist $(u, v) = sqrt {2 + (8 - sqrt 2)^2}$

$= sqrt{2 + 64 + 2 - 16 sqrt 2}$

But by your text, it could be different.

What is the distance between (2 , (7 pi)/4 )(2 , (7 pi)/4 ) and (8 , (3 pi )/2 )(8 , (3 pi )/2 )?