Final answer:
The moment about the origin O can be calculated using the formula Mo = r x F, where r is the position vector and F is the force vector.
Step-by-step explanation:
The moment about the origin O can be calculated using the formula Mo = r x F, where r is the position vector and F is the force vector.
To calculate the moment, we need to take the cross product of the position vector r = i + j + k and the force vector F = 6i + 5j + 5k.
Moment about the origin O (Mo) = (i + j + k) x (6i + 5j + 5k).
Performing the cross product, we get Mo = -5i + 5j + i + 5k + j - 6k = -4i + 6j - k.