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Let P be the plane passing through the intersection of the planes 5 ) k ˆ j ˆ 3 i ˆ .( r = − + G and 3 ) k ˆ j ˆ i ˆ 2 .( r = + − G , and the point (2, 1, –2). Let the position vectors of the points X and Y be k ˆ 4 j ˆ 2 i ˆ + − and k ˆ 2 j ˆ i ˆ 5 + − respectively. Then the points

1. X and X + Y are on the same side of P
2. Y and Y – X are on the opposite sides of P
3. X and Y are on the opposite sides of P
4. X + Y and X – Y are on the same side of P

Correct answer: X and Y are on the opposite sides of P

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