Consider the planes 1x + 4y +3z = 1 and 1x + 3z = 0
(A) Find the unique point P on the y-axis which is on both planes. (0,1/4 ,0 )
(B) Find a unit vector with positive first coordinate that is parallel to both planes.
.94869 i + 0 j + -.3162 k
(C) Use parts (A) and (B) to find a vector equation for the line of intersection of the two planes,
? + 1/4 + ?
The vector equation for line of intersection of two planes is found.