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January 28, 2015

January 28, 2015

Posted by **y912f** on Friday, February 13, 2009 at 4:22pm.

find the resultant of these two vectors: 2.00 * 10^2 units due east and 4.00 * 10^2 units 30.0degrees north of west

please show me step by step how to do this

thanks for any help!

- physics -
**bobpursley**, Friday, February 13, 2009 at 4:33pmAdd the vectors

Resultant=200E+400 @30 N of W

= 200E+ 400Cos30 W + 400Sin30N

= -200W+ 346W + 200N combine the West units, and that is it. Now if you want to express it as a direction, then

= 146W+ 200N

find the angle N of W (angle=arctan146/200= 36.1 deg N of W)

and the magnitude, use Pyth theorm, or

magnitude = 200/cos36.1=247

check that

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