Let P(3, 2, 6) be a point in space and Q be a point on the line r = ( i - j + 2 k) + (-3 i + j + 5 k). Then the value of μ for which the vector PQ is parallel to the plane x − 4y + 3z = 1 is

JEE Advanced 2009 Mathematics question

Let P(3, 2, 6) be a point in space and Q be a point on the line

r = ( i - j + 2 k) + μ(-3 i + j + 5 k).

Then the value of μ for which the vector is parallel to the plane x − 4y + 3z = 1 is

Answer: (A)

Q = (1 − 3μ, −1 + μ, 2 + 5μ), so . Parallel to the plane means

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Question ID VK-037691