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3D Geometry question

2022 · 24 Jun · Shift 1 · Q43

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JEE Main
Mathematics
3D Geometry
2022 · 24 Jun · Shift 1 · Q43

3D Geometry question

2022 · 24 Jun · Shift 1 · Q43

JEE MainMathematics3D GeometryNumerical+4 / −1

If the shortest distance between the lines

\overrightarrow r = \left( { - \widehat i + 3\widehat k} \right) + \lambda \left( {\widehat i - a\widehat j} \right)

and

\overrightarrow r = \left( { - \widehat j + 2\widehat k} \right) + \mu \left( {\widehat i - \widehat j + \widehat k} \right)

is

\sqrt {{2 \over 3}}

, then the integral value of a is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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