posted by y912f on .
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!
Add 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