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Determine the component form for the 2-space vector $\mathbf w$ if it is known that its angle from the positive x-axis is $\frac{5\pi}{4}$ and its length is $11$.

Any input is appreciated, thanks.

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    My a$p$ologies :)2011-09-29

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If you've taken up polar coordinates, this is simply a matter of turning $(11,5\pi/4)$ into Cartesian coordinates.

See formulae 1-2 here for the conversion formulae. $r$ there is length and $\theta$ is bearing, while $x,y$ are components.

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    @Matt: I prefer $-11/\sqrt 2$ myself, but sure...2011-09-29