Mathematics Medium 249× since 2002 Q2412 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 r → × ( i ∧ − k ∧ ) − 2 = 0 \mathop r\limits^ \to \times \left( {\mathop i\limits^ \wedge - \mathop k\limits^ \wedge } \right) - 2 = 0 r → × ( i ∧ − k ∧ ) − 2 = 0 B r → . ( i ∧ + k ∧ ) + 2 = 0 \mathop r\limits^ \to . \left( {\mathop i\limits^ \wedge + \mathop k\limits^ \wedge } \right) + 2 = 0 r → . ( i ∧ + k ∧ ) + 2 = 0 C r → . ( i ∧ − k ∧ ) + 2 = 0 \mathop r\limits^ \to . \left( {\mathop i\limits^ \wedge - \mathop k\limits^ \wedge } \right) + 2 = 0 r → . ( i ∧ − k ∧ ) + 2 = 0 D r → × ( i ∧ − k ∧ ) + 2 = 0 \mathop r\limits^ \to \times \left( {\mathop i\limits^ \wedge - \mathop k\limits^ \wedge } \right) + 2 = 0 r → × ( i ∧ − k ∧ ) + 2 = 0 Check answer Skip
JEE Main 2019 · 8 Apr, Evening shift · Q2412· 3d Geometry