If (a × b) × c = a × (b × c) where a, b and c are any three vectors such that a. b ≠ 0, b. c ≠ 0 then a and c are:

(A) inclined at an angle of (π)/3 between them

(B) inclined at an angle of (π)/6 between them

Vector Algebra: JEE Main 2006 Mathematics question

JEE Main 2006 · Annual, Paper 1 · Q5710

JEE Main 2006Annual, Paper 1MathematicsMediumVector Algebra184× since 2002

\left( {\overrightarrow a \times \overrightarrow b } \right) \times \overrightarrow c = \overrightarrow a \times \left( {\overrightarrow b \times \overrightarrow c } \right)

where

{\overrightarrow a ,\overrightarrow b }

and

{\overrightarrow c }

are any three vectors such that

\overrightarrow a .\overrightarrow b \ne 0,\,\,\overrightarrow b .\overrightarrow c \ne 0

then

{\overrightarrow a }

and

{\overrightarrow c }

are :