(1) A force F of magnitude 6 in the direction i - 2j + 2k acts at the point P = (1,-1, 2).
a. Find the vector moment M of F about the origin.
b. Find the components of M in the direction of the (positive) x - axis, y -axis and z -axis.
c. Find the component of M about an axis in the direction i + j.
(2) Let l be the line passing through (1,4,2) in the direction (1,1,1)
a. Find where l meets the xy-plane.
b. Find where l meets the plane with equation x + y + z = 1
c. Find where l meets the plane with equation x + y - 2z = 1
Vector problems are solved by using components. The solution is detailed and well presented.