Final answer:
The angular momentum LA is calculated using the cross-product of the position vector rA = (4, -6, 0) m and the linear momentum vector p = (11, 15, 0) kg · m/s to get LA = (126, 66, 0) kg · m²/s.
Step-by-step explanation:
To calculate the angular momentum LA of a particle, we use the cross-product of the position vector rA and the linear momentum vector p. Given rA = (4, -6, 0) m and p = (11, 15, 0) kg · m/s, we perform the cross-product:
LA = rA × p
LA = (4 × 15) - (-6 × 11), (6 × 11) - (0 × 15), (0 × 15) - (4 × 11)
LA = (60 + 66, 66 - 0, 0 - 0)
LA = (126, 66, 0) kg · m²/s