The value of m for which straight line 3x-2y+z+3=0=4x-3y+4z+1 is  parallel to the plane 2x-y+mz-2=0 is

Let n¯1=3, −2, 1,  n¯2=4, −3, 4,  n¯3=2, −1, mThen n¯1×n¯2 is parallel to the line and ⊥ to normal n¯3 to the given plane⇒n¯1×n¯2.n¯3=0  or n¯1    n¯2     n¯3=0  ⇒m=−2