Consider the planes 2x+1y+1z=1 and 2x+1z=0:
(A) Find the unique point P on the y-axis which is on both planes: ( , , )
(B) Find a unit vector u with positive ﬁrst coordinate that is parallel to both planes.
_____i + _____j + _____k
(C) Use parts (A) and (B) to ﬁnd a vector equation for the line of intersection of the two planes,
r(t) =_____i + _____j + _____k

Question

Consider the planes 2x+1y+1z=1 and 2x+1z=0:
(A) Find the unique point P on the y-axis which is on both planes: (     ,     ,    )
(B) Find a unit vector u with positive ﬁrst coordinate that is parallel to both planes.
_____i + _____j + _____k
(C) Use parts (A) and (B) to ﬁnd a vector equation for the line of intersection of the two planes,
r(t) =_____i + _____j + _____k

anonymous · Answer

i did A. my answer was (0,1,0). But i'm unsure of what to do for B and C. Any help would be appreciated.