physics

posted by .

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

  • physics -

    hmmm...
    If θ is the angle between p+q and p, cosθ = 4/5
    If Ø is the angle between p+q and q, then the angle between p and q is θ+Ø

    Let's let |q| = a, so |p| = a+1

    p•q = a(a+1)cos(θ+Ø)
    (p+q)•p = |p+q|*|p| cosθ = (4/5)(a+1)|p+q|
    (p+q)•q = |p+q|*|q| cosØ = |p+q|(a) cosØ
    |p+q| = pcosθ + qcosØ = (4/5)(a+1) + acosØ

    Somewhere in those equations you can surely solve for a and Ø, and you want θ+Ø.

    Play around with that, while I do the same.

    Or, there may be a handy formula I have forgotten.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Given Vector A with magintude 9.17 feet and Vector B with magnitude of 10.58 feet, what is the resultant of the two vectors added together?
  2. 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 …
  3. Vectors

    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.
  4. physics

    two vectors A and B each have magnitude 220 and angle BETWEEN THEM IS 120 WHAT WILL BE RESULTANT?
  5. Physics

    2 vectors have same magnitude.The magnitude of the resultant vector of these 2 vectors are same as either of both vectors.What is the angle between 2 vectors?
  6. Science

    2 vectors have same magnitude.The magnitude of the resultant vectors is same as either of both vectors.What is the angle between 2 vectors?
  7. 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 …
  8. Math vectors

    For which of the following conditions will the cross product of two vectors be zero?
  9. Physics

    The resultant of two vectors a and b is perpendicular to the vector a and its magnitude is equal to the half magnitude of vector b the find angle between a and b
  10. physics

    the sum of magnitudes of two forces acting at a point is 18n and the magnitude of their resultant is 12n. if the resultant makes an angle of 90 degree with the force of smaller magnitude,what are the magnitude of two forces

More Similar Questions