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Vector Algebra question

2012 · Shift 1 · Q23

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PYQ Library
JEE Advanced
Mathematics
Vector Algebra
2012 · Shift 1 · Q23

Vector Algebra question

2012 · Shift 1 · Q23

JEE AdvancedMathematicsVector AlgebraNumerical+4 / −1

If

\overrightarrow a ,\overrightarrow b

and

\overrightarrow c

are unit vectors satisfying

{\left| {\overrightarrow a - \overrightarrow b } \right|^2} + {\left| {\overrightarrow b - \overrightarrow c } \right|^2} + {\left| {\overrightarrow c - \overrightarrow a } \right|^2} = 9,

then

\left| {2\overrightarrow a + 5\overrightarrow b + 5\overrightarrow c } \right|

is

Numerical answer

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