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+1 vote
1.0k views
in Three-dimensional geometry by (36.4k points)

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

(a) 1/4 

(b) –1/4 

(c) 1/8 

(d) –1/8

1 Answer

+1 vote
by (33.1k points)
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Best answer

Answer is (a) 1/4

The cartesian form of the given line is

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