The vector equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x – y + z = 0 is:

\(\vec r \times \left( {\hat i - \hat k} \right) + 2 = 0\)

\(\vec r\cdot\left( {\hat i - \hat k} \right) - 2 = 0\)

\(\vec r \times \left( {\hat i + \hat k} \right) + 2 = 0\)

\(\vec r\cdot\left( {\hat i - \hat k} \right) + 2 = 0\)

The vector equation of the plane through the line of intersection of t

1.	The vector equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x – y + z = 0 is:
A.	\(\vec r \times \left( {\hat i - \hat k} \right) + 2 = 0\)
B.	\(\vec r\cdot\left( {\hat i - \hat k} \right) - 2 = 0\)
C.	\(\vec r \times \left( {\hat i + \hat k} \right) + 2 = 0\)
D.	\(\vec r\cdot\left( {\hat i - \hat k} \right) + 2 = 0\)
Answer» E.