Question

3. Consider the plane with equation x-2y+3z-2 = 0.
(a) Describe (geometrically) the intersection of this plane witheach of the following lines:

i. the line l1 given by
x = 1 + t
y = 1-2t
z = 3-2t, where teR

ii. the line l2 given by
x = - 1 + t
y = -1-t
z = -1-t, where teR

iii. the line l3 given by
x = 1 + t
y = 1-t
z = 1-t, where teR

(b) Are any of the lines in part (a) orthogonal to this plane?Why?