Let a = 3 i + 2 j + 2 k and b = i + 2 j - 2 k be two vectors. If a vector perpendicular to both the vectors a + b and a - b has the magnitude 12 then one such vector is:

Vector Algebra: JEE Main 2019 Mathematics question

JEE Main 2019 · 12 Apr, Morning shift · Q5807

JEE Main 201912 Apr, Morning shiftMathematicsMediumVector Algebra184× since 2002

Let

\overrightarrow a = 3\widehat i + 2\widehat j + 2\widehat k

and

\overrightarrow b = \widehat i + 2\widehat j - 2\widehat k

be two vectors. If a vector perpendicular to both the vectors

\overrightarrow a + \overrightarrow b

and

\overrightarrow a - \overrightarrow b

has the magnitude 12 then one such vector is :

JEE Main 2019 · 12 Apr, Morning shift · Q5807

JEE Main 201912 Apr, Morning shiftMathematicsMediumVector Algebra184× since 2002

Let

\overrightarrow a = 3\widehat i + 2\widehat j + 2\widehat k

and

\overrightarrow b = \widehat i + 2\widehat j - 2\widehat k

be two vectors. If a vector perpendicular to both the vectors

\overrightarrow a + \overrightarrow b

and

\overrightarrow a - \overrightarrow b

has the magnitude 12 then one such vector is :