A) \[\overrightarrow{\mathbf{a}}\cdot (\overrightarrow{\mathbf{b}}\times \overrightarrow{\mathbf{c}})=0\]
B) \[\overrightarrow{\mathbf{a}}\times (\overrightarrow{\mathbf{b}}\times \overrightarrow{\mathbf{c}})=0\]
C) \[[\overrightarrow{\mathbf{a}}+\overrightarrow{\mathbf{b}},\,\,\overrightarrow{\mathbf{b}}+\overrightarrow{\mathbf{c}},\,\,\overrightarrow{\mathbf{c}}+\overrightarrow{\mathbf{a}}]=0\]
D) \[\overrightarrow{\mathbf{a}}=p\overrightarrow{\mathbf{b}}+q\overrightarrow{\mathbf{c}}\]
Correct Answer: B
Solution :
If \[\overset{\to }{\mathop{\mathbf{a}}}\,,\,\,\overset{\to }{\mathop{\mathbf{b}}}\,\] and \[\overset{\to }{\mathop{\mathbf{c}}}\,\] are coplanar, then option is not correct.
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