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AP Physics

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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

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