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Max asked in Science & MathematicsPhysics · 8 years ago

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

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  • 8 years ago
    Favorite 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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