# Displacement problem help?

Displacement vector points due east and has a magnitude of 1.99 km. Displacement vector points due north and has a magnitude of 8.65 km. Displacement vector points due west and has a magnitude of 7.01 km. Displacement vector points due south and has a magnitude of 1.84 km. Find (a) the magnitude of the resultant vector + + + , and (b) its direction as a positive angle relative to due west.

Can someone tell me how to do this and the answer? Thanks!!

### 1 Answer

- Old Science GuyLv 78 years agoFavorite Answer
you need to add these together

the easiest way is to first add N and S and add E and W

giving

(8.65 N + 1.84 S) = 6.81 N

(7.01 W + 1.99 E) = 5.02 W

now draw these, make a parallelogram and solve for the diagonal

or

taking W as zero degrees and N as 90 deg

6.81@90 + 5.02@0 = 8.46@53.6 deg which is 8.46 km at 53.6 deg N of W

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