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A vector v in the first octant is inclined to the x - axis at 60°, to the y - axis at 45° and to the z - axis at an acute angle. If a plane passing through the points ( 2 , – 1, 1 ) and (a, b, c) is normal to   , then

1. a 2 + b + c = 1
2. a + b 2 + c = 1
3. a 2 − b + c = 1
4. a + b + c 2 = 1

Correct answer: a + b 2 + c = 1

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