Vectors (Physics/Math)

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Vector A has a magnitude of 18 (in some unspecified units) and makes an angle of 25 with the x axis, and a vector B has a length of 24 and makes an angle of 70 with the x axis. Find the components of the vector C in the following:
(a) C = A + B
Cx =
Cy =
(b) C = A - B
Cx=
Cy=

  • Vectors (Physics/Math) -

    (a) θ=25° φ=70°
    Cx = Ax + Bx = |A|cos(θ) + |B|cos(φ)
    =18cos(25)+24cos(70)
    = 16.31 + 8.21
    = 24.52

    Cy = Ay + By = |A|sin(θ) + |B|sin(φ)
    = 18sin(25)+24sin(70)
    = 7.61 + 22.55
    = 30.16


    (b) similar to (a), but subtract instead of add.

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