JEE Advance - Mathematics (1981 - No. 6)
The scalar $$\overrightarrow A .\left( {\overrightarrow B + \overrightarrow C } \right) \times \left( {\overrightarrow A + \overrightarrow B + \overrightarrow C } \right)$$ equals :
$$0$$
$$\left[ {\overrightarrow A \,\overrightarrow B \,\overrightarrow C } \right] + \left[ {\overrightarrow B \,\overrightarrow C \,\overrightarrow A } \right]$$
$$\left[ {\overrightarrow A \,\overrightarrow B \,\overrightarrow C } \right]$$
None of these