AP Physics

posted by .

Consider the vectors A = 2.00 i + 7.00 j and B = 3.00 i - 2.00 j.

(a) Sketch the vector sum C = A + B and the vector subtraction D = A - B.

(b) Find analytical solutions for C and D first in terms of unit vectors and then in terms of polar coordinates, with angles measured with respect to the positive x axis.

I just can't figure out what the degree should be for the D vector polar coordinate

  • AP Physics -

    D=-i+9j

    angle of D= arctan 9

  • AP Physics -

    A+B = (2+3)i + (7-2)j = 5i+5j
    A-B = -i+9j

    just draw a triangle with hypotenuse from (0,0) to (-1,9)

    tanθ = 9/-1
    θ = 180+83.66° = 263.66° or -96.34°

  • AP Physics - correction -

    Oops. That would be

    180-83.66 = 96.34°

  • AP Physics -

    thank you! the answer was 96.3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math - vectors

    In the product F(vector)=q(V(vector)xB(vector), take q = 4, V(vector)= 2.0i + 4.0j + 6.0k and F(vector)= 136i -176j + 72k. What then is B(vector) in unit-vector notation if Bx = By?
  2. Physics

    Three vectors, each have a magnitude of 30 units, have their tails at the same oint and are directed 120 degrees from each other. Make a statement concerning the sum of these three vectors. a) the sum vector is 0 b) the sum vector …
  3. cartesian vectors 2

    let vector U = (vector u1, vector u2) vector V = (vector v1, vector v2) and vector W = (vector w1, vector w2) Prove each property using Cartesian vectors: a) (vector U+V)+W = vector U+(v+W) b) k(vector U+V) = k vector U + k vector …
  4. Mamthematics - Vectors

    a) If vector u and vector v are non-collinear vectors show that vector u, vector u cross product vector v and (vector u cross product vector v) cross product vector u are mutually othogonal. b) Verify this property using vectors collinear …
  5. Physics

    When two vectors vector A and vector B are drawn from a common point, the angle between them is phi. If vector A and vector B have the same magnitude, for which value of phi will their vector sum have the same magnitude as vector A …
  6. Vectors

    Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). (This means that addition does not distribute over the dot product.) Explain the problem that arises.
  7. Vectors

    Verify (Vector a + Vector b) × (Vector a + Vector b) = 0⃗ . What can be said about two vectors whose cross product is the zero vector?
  8. calculus

    State whether or not the following statements are true. Justify your reasoning.?
  9. Vectors

    Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). Explain the problem that arises
  10. Physics

    If vector a and b are two non collinear unit vectors and |vector a+ vector b|=√3 then find the value of ( vector a- vector b).(2 vector a+ vector b)

More Similar Questions