A system consists of three particles A, B, and C. We know that mA = 3kg, m _B = 4 kg, and m _C = 5 kg and that the velocities of the particles expressed in m/s are, respectively, v A = -4 i +4 j +6 k , v B = vx i +vy j +4 k , and v _C = 2 i -6 j -4 k . Determine the components v _x and v _y of the velocity of particle B for which the angular momentum H _o of the system about O is parallel to the z-axis as well as the corresponding value of H _o .

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