Posted by **Joe** on Sunday, July 24, 2011 at 7:45pm.

If /U/=9, /V/=11, and theta = 43 deg (angle between), find the magnitude of U+V and give the direction that the that the resultant makes with U.

- Vectors -
**Reiny**, Sunday, July 24, 2011 at 8:49pm
make a sketch by completing the usual parallelogram , if U+V = R

R^2 = 11^2 + 9^2 - 2(9)(11)cos 137°

= 346.808

R = 18.62

now use the Sine Law to findØ, the angle between V and R.

sinØ/9 = sin137°/18.62

sinØ = .329595

Ø = 19.24° with vector V, then

23.76° with vector U

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