physics

posted by .

For 3 vectors, find the magnitude and direction of the vector D=A-B+3C.

A of length 6.2 and pointing 52 degrees up from the negative x-axis

B of length 6.6 and pointing 27 degrees up from the positive x-axis

C of length 2.8 and pointing 57 degrees down from the positive x-axis

the direction is counterclockwise from the x-axis

  • physics -

    First, find the x and y components of all vectors:

    Ax = -6.2*cos(52)
    Ay = 6.2*sin(52)

    Bx = 6.6*cos(27)
    By = 6.6*sin(27)

    Cx = 2.8*cos(57)
    Cy = -2.8*sin(57)

    Dx = Ax - Bx + 3*Cx
    Dy = Ay - By + 3*Cy

    D has a magnitude of

    D = (Dx^2 + Dy^2)^0.5

    and a direction of theta given by

    tan(theta) = Dy/Dx

    Input values into these equations and solve

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    The two vectors a and b have equal magnitudes(on an x-y plane vector a is 30 degrees from the x axis then vector b is 75 degrees from the head of vector a it is heading towards north west) of 10m A)find the x component of their vector …
  2. 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 …
  3. Physics

    1) The vector sum of three vectors gives a resultant equal to zero. what can you say about the vectors?
  4. Science

    1) The vector sum of three vectors gives a resultant equal to zero. what can you say about the vectors?
  5. physics

    Vector vector A has a magnitude of 6.90 units and makes an angle of 46.5° with the positive x-axis. Vector vector B also has a magnitude of 8.00 units and is directed along the negative x-axis. Using graphical methods find the following. …
  6. AP Physics

    there are two vectors in quadrant three one with a magnitude of 31.0N and has a direction of 117degrees in the negative direction from the x axis the other has an unknown magnitude and unkown theta in the positive direction starting …
  7. Physics

    A diagram has vector A at 30 degrees above the positive x axis. length = 3 m Vector B is ON the negative x-axis. length = 1 m Vector C is ON the negative y-axis. Length is 2 m What is the direction in degrees of vector a + vector B …
  8. physics

    The magnitude of vector A is 18 units at an angle of 90 degrees with the x-axis, and the magnitude of vector B is 12 units at an angle of 330 degrees with the x-axis. What vector C must be added to the vectors A and B so that the resultant …
  9. Physics

    For the three vectors A+B+C= -1.4i. Vector A is 4i and vector C is -2j. Write vector B as components separated by a comma. What is the magnitude of vector B?
  10. PHYSICS

    Vector A⃗ points in the negative x direction and has a magnitude of 22 units. The vector B⃗ points in the positive y direction. partA:Find the magnitude of B⃗ if A⃗ +B⃗ has a magnitude of 37 units. partB: Sketch A⃗ and …

More Similar Questions