If a and b are unit vectors, then the greatest value of 3 | a + b | + | a - b | is _ _ _.

Vector Algebra: JEE Main 2020 Mathematics question

JEE Main 2020 · 6 Sep, Morning shift · Q44

JEE Main 20206 Sep, Morning shiftMathematicsMediumVector Algebra184× since 2002

\overrightarrow a

and

\overrightarrow b

are unit vectors, then the greatest value of

\sqrt 3 \left| {\overrightarrow a + \overrightarrow b } \right| + \left| {\overrightarrow a - \overrightarrow b } \right|

is_____.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2020 · 6 Sep, Morning shift · Q44

JEE Main 20206 Sep, Morning shiftMathematicsMediumVector Algebra184× since 2002

\overrightarrow a

and

\overrightarrow b

are unit vectors, then the greatest value of

\sqrt 3 \left| {\overrightarrow a + \overrightarrow b } \right| + \left| {\overrightarrow a - \overrightarrow b } \right|

is_____.

Your answerType your answer. Integers and decimals are accepted.