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.
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.
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.