# math

posted by .

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 -

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
180-79.163 = appr 100.8°

## Similar Questions

1. ### physics repost

What should be the angle between two vectors of magnitudes 3.20 and 5.70 units, so that their resultant has a magnitude of 6.10 units?
2. ### Physics

What should be the angle between two vectors of magnitudes 3.20 and 5.70 units, so that their resultant has a magnitude of 6.10 units?
3. ### Physics

What should be the angle between two vectors of magnitudes 3.20 and 5.70 units, so that their resultant has a magnitude of 6.10 units?
4. ### physics

Can you help me with this one also? I know how to do it with 3 vectors but I can't seem to draw it with 4 vectors. The magnitudes of the four displacement vectors shown in the drawing are A=16.0 m, B=11.0 m, C=12.0 m, and D=26.0 m.
5. ### physics

Three vectors are shown in Fig. 3-32 (A = 60.0 , B = 56.0°). Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. (a) Give the resultant in terms of components. (b) What is the magnitude of the resultant?
6. ### physics

two vectors of magnitudes 7 units and 15 units can never give resultant of?
7. ### Physics

What should be the angle between two vectors of magnitudes 4.10 and 4.40 units, so that their resultant has a magnitude of 3.90 units?
8. ### physics

Two vectors of magnitudes 10 units and 15 units are acting at a point. The magnitude of their resultant is 20 units. Find the angle between them.
9. ### maths

Two vectors P and Q of magnitudes 5 and 3 units respectively are inclined at an angle of 30 to each other.calculate the component of the resultant in the direction of Q.
10. ### Physics

The maximum and minimum magnitudes of the resultant of two given vectors are 17N and 7N respectively. If two vectors are at right angles to each other, then find the magnitude of their resultant?

More Similar Questions