Consider the planes $2\!x + 3\!y + 1\!z = 1$ and $2\!x + 1\!z = 0.$

(A) Find the unique point P on the y-axis which is on both planes. (, , )

(B) Find a unit vector $\bf{u}$ with positive first coordinate that is parallel to both planes.
$\mathbf{i}$ + $\mathbf{j}$ + $\mathbf{k}$

(C) Use parts (A) and (B) to find a vector equation for the line of intersection of the two planes,$\bf{r(t) =}$
$\bf{i}$ + $\bf{j}$ + $\bf{k}$

NOTE: Part (C) is counted as a single question. All three components must be filled in to receive credit.
There are many different correct answers to this question.