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3D Geometry question

2021 · 16 Mar · Shift 1 · Q25

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JEE Main
Mathematics
3D Geometry
2021 · 16 Mar · Shift 1 · Q25

3D Geometry question

2021 · 16 Mar · Shift 1 · Q25

JEE MainMathematics3D GeometryMCQ+4 / −1

Let the position vectors of two points P and Q be 3

\widehat i-\widehat j

+ 2

\widehat k

and

\widehat i

+ 2

\widehat j-

4

\widehat k

, respectively. Let R and S be two points such that the direction ratios of lines PR and QS are (4,

-

1, 2) and (

-

2, 1,

-

2), respectively. Let lines PR and QS intersect at T. If the vector

\overrightarrow {TA}

is perpendicular to both

\overrightarrow {PR}

and

\overrightarrow {QS}

and the length of vector

\overrightarrow {TA}

is

\sqrt 5

units, then the modulus of a position vector of A is :

A
$\sqrt {171}$
B
$\sqrt {227}$
C
$\sqrt {482}$
D
$\sqrt {5}$

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