physics

The problem concern the position vectors r1=2.43mi-4.74mj and r2=-3.02mi+0.85mj.
Find the angle between the two vectors. Hint: Find the angle each makes with the +x-axis.

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  1. r1 = 2.43-i4.74.
    tanA1 = -4.74/2.43 = -1.95062,
    A1 = -62.86deg, CW = 297.1deg,CCW.

    r2 = -3.02+i0.85.
    tanA2 = 0.85/-3.02 = -0.281457,
    A2 = -15.72deg,CW = 344.3deg,CCW.

    A = 344.3 - 297.1 = 47.2deg. = Angle
    between r1 and r2.

    Or
    A = -15.7 - (-62.9) = -15.7 + 62.9
    = 47.2deg.

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