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Vector Algebra question

2014 · Shift 1 · Q31

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PYQ Library
JEE Advanced
Mathematics
Vector Algebra
2014 · Shift 1 · Q31

Vector Algebra question

2014 · Shift 1 · Q31

JEE AdvancedMathematicsVector AlgebraNumerical+3 / −1

Let

\overrightarrow a \,\,,\,\,\overrightarrow b

and

\overrightarrow c

be three non-coplanar unit vectors such that the angle between every pair of them is

{\pi \over 3}.

If

\overrightarrow a \times \overrightarrow b + \overrightarrow b \times \overrightarrow c = p\overrightarrow a + q\overrightarrow b + r\overrightarrow c ,

where

p,q

and

r

are scalars, then the value of

{{{p^2} + 2{q^2} + {r^2}} \over {{q^2}}}

is

Numerical answer

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