# Vectors

posted by .

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 -

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

## Similar Questions

1. ### Physics

2 displacement vectors of 15 meters and 10 meters are combined. a.Find the magnitude of the minimum possible resultant and the angle between the vectors. b. Find the magnitude of the maximum possible resultant and the angle between …
2. ### science (physics) Need to solve this today please

(a) Express the vectors A, B, and C in the figure below in terms of unit vectors. (b) Use unit vector notation to find the vectors R = A + B + C and S = C – A – B. (c) What are the magnitude and directions of vectors R and S?
3. ### Physics

Consider three force vectors ~ F1, ~ F2, and ~ F3. The vector ~ F1 has magnitude F1 = 86 N and direction θ1 = 169◦; the vector ~ F2 has magni- tude F2 = 46 N and direction θ2 = 240◦; and the vector ~ F3 has magnitude …
4. ### science

Find the resultant of vectors angle A of magnitude 10units in the direction N40E and angle B of magnitude 8units in the direction S30E.
5. ### physics

Consider four vectors F1, F2, F3, and F4, with magnitudes are F1 = 41 N, F2 = 24 N, F3 =27 N, and F4 = 51 N, and angle 1 = 150 deg, angle 2 = −160 deg, angle 3 = 39 deg, and angle 4 = −57 deg, measured from the positive …
6. ### Physics

A football player runs the pattern given in the drawing by the three displacement vectors A ,B ,C and . The magnitudes of these vectors are A = 4.00 m, B = 17.0 m, and C = 19.0 m. Using the component method, find the (a) magnitude …
7. ### physics

Find the resultant, in magnitude and direction of a force of 40 N which makes an angle with the + X axis of 38o and a force of 20 N acting along the + X axis. Find the x and y components of the resultant and express them as i and j …
8. ### physics

The magnitude of two vectors p and q differ by 1. The magnitude of their resultant makes an angle of tan inverse ( 3 / 4 ) with p. The angle between p and q is
9. ### Physics

Find the magnitude and direction of the resultant R of the three vectors shown in figure 1.3. The vectors have the following magnitudes: A=5.0, B=7.9, and C=8.0. Express the direction of the vector sum by specifying the angle it makes …
10. ### Trig

I need help setting these up. 1.) Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in the figure. round to one decimal place. Theta= 35 degree, b=98 lbs, c=55lb 2.) Find the magnitude …

More Similar Questions