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

Let A be a point on the line r = (1 - 3μ)i + (μ - 1)j + (2… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 10 Jan · Shift I

Let

A

be a point on the line

\vec{r} = (1 - 3\mu)\hat{i} + (\mu - 1)\hat{j} + (2 + 5\mu)\hat{k}

and

B(3, 2, 6)

be a point in the space. Then, the value of

\mu

for which the vector

\overrightarrow{AB}

is parallel to the plane

x - 4y + 3z = 1

Show answer

Correct option: A

[JEE Main 2019 · 10 Jan · Shift I]

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