Posted by dave on Friday, March 1, 2013 at 6:58pm.
Two vectors have magnitudes of 3 units and 8 units respectively. The resultant of these two vectors has a magnitude of 8 units. What is the angle between these two vectors?

math  Reiny, Friday, March 1, 2013 at 8:04pm
make your sketch using the parallelogram property of vectors.
The resultant of 8 will be the diagonal of the quadrilateral with sides 3 and 8
let the angle opposite the resultant be Ø
by the cosine law:
8^2 = 8^2 + 3^2  2(8)(3)cos∏
48cosØ = 9
cosØ = 9/48
Ø = 79.163°
so by the gm property, the angle between the two vectors is
18079.163 = appr 100.8°
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