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Vector Algebra question

2020 · 2 Sep · Shift 1 · Q29

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JEE Main
Mathematics
Vector Algebra
2020 · 2 Sep · Shift 1 · Q29

Vector Algebra question

2020 · 2 Sep · Shift 1 · Q29

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

\overrightarrow a

,

\overrightarrow b

and

\overrightarrow c

be three unit vectors such that

{\left| {\overrightarrow a - \overrightarrow b } \right|^2}

+

{\left| {\overrightarrow a - \overrightarrow c } \right|^2}

= 8. Then

{\left| {\overrightarrow a + 2\overrightarrow b } \right|^2}

+

{\left| {\overrightarrow a + 2\overrightarrow c } \right|^2}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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