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 AB is parallel to the plane x - 4y + 3z = 1 is -

Three Dimensional Geometry: JEE Main 2019 Mathematics question

JEE Main 2019 · 10 Jan, Morning shift · Q2571

JEE Main 201910 Jan, Morning shiftMathematicsMediumThree Dimensional Geometry249× since 2002

Let A be a point on the line

\overrightarrow r = \left( {1 - 3\mu } \right)\widehat i + \left( {\mu - 1} \right)\widehat j + \left( {2 + 5\mu } \right)\widehat 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 is -