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!!
- 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
(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
taking W as zero degrees and N as 90 deg
6.81@90 + 5.02@0 = firstname.lastname@example.org deg which is 8.46 km at 53.6 deg N of W