I was able to find part A by setting x and z to 0 and solve for y:Consider the planes $\displaystyle 5x+4y+1z = 1 $ and $\displaystyle 5x+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 the vectors found in parts (A) and (B) to find a vector equation for the line of intersection of the two planes, r(t) = ___I + ___J + ___K

$\displaystyle 5(0) + 4y + 1(0) = 1 $

$\displaystyle y = \frac{1}{4} => (0, \frac{1}{4}, 0) $

Need help solving part B and C