A) \[\overrightarrow{a}.(\overrightarrow{b}\times \overrightarrow{c})=0\]
B) \[\overrightarrow{a}\times (\overrightarrow{b}\times \overrightarrow{c})=0\]
C) \[[\overrightarrow{a}+\overrightarrow{b}\text{ }\overrightarrow{b}+\overrightarrow{c}\text{ }\overrightarrow{c}+\overrightarrow{a}]=0\]
D) \[\overrightarrow{a}=p\overrightarrow{b}+q\overrightarrow{c}\]
Correct Answer: B
Solution :
If\[\overrightarrow{a},\overrightarrow{b}\]and\[\overrightarrow{c}\]are in the same plane, then \[\overrightarrow{a}\times (\overrightarrow{b}\times \overrightarrow{c})\ne 0\] Hence, requried option is .
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