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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 -

1. 0 2 ) k ˆ i ˆ ( r = − − →
2. 0 2 ) k ˆ i ˆ ( r = + + × →
3. 0 2 ) k ˆ i ˆ ( r = + − ⋅ →
4. 0 2 ) k ˆ i ˆ ( r = + + × →

Correct answer: 0 2 ) k ˆ i ˆ ( r = + − ⋅ →

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