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

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Correct option is A

Any point on the line can be taken as Q={(1−3μ),(μ−1),(5μ+2)}PQ→={−3μ−2,μ−3,5μ−4) Now, 1(−3μ−2)−4(μ−3)+3(5μ−4)=0or −3μ−2−4μ+12+15μ−12=0or 8μ=2 or μ=1/4

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

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