Converting to component form help.

Thread starter jimmyv12
Start date Feb 15, 2009
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Component Component form Form

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To convert the vector A = (4.6 m, 20° south of east) into component form, the x-component is calculated using 4.6*cos(20°), while the y-component is determined by 4.6*sin(20°). The angle is measured 20 degrees below due east, which affects the sign of the y-component. The final components are expressed as (x, -y) due to the southward direction. This method effectively translates the vector into its Cartesian coordinates.

Feb 15, 2009

jimmyv12

Let A = (4.6 m, 20^{}o south of east)

How do I write this in compnent form? I know if it were (4.6m, North) is would simply be (0,4.6), but otherwise, how would I calculate this?

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Feb 15, 2009

w3390

To find the components, 20 degrees south of east is just 20 degrees below due east. Therefore, the x-component will be 4.6*cos(20) and the y-component will be 4.6*sin(20).

Feb 15, 2009

jimmyv12

Great! Thanks!

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