Step 1:

The equations are

The cross product of two normal vectors is the direction vector for the line of intersection.

The normal vectors of two planes are

.

The cross product of two vectors is

The direction vector of line of intersection is .

Step 2:

Solve the eqn(1) and eqn(2).

Multiply eqn(1) on each side by 3.

.

Subtract from eqn(2).

Substitute in eqn(1)

.

There are no solutions for and .

So, take the point as

.

The is lie on the line of intersection.

The direction vector of line of intersection is .

The parametric plane equation is

The parametric equation is .

Solution:

The parametric equation is .

(b)

The equations are

.

.

The normal vectors of two planes are

.

The angle between two planes is

The angle between two planes is .

Solution:

The angle between two planes is .