Releted Question 1
The scalar $$\vec A.\left( {\vec B + \vec C} \right) \times \left( {\vec A + \vec B + \vec C} \right)$$ equals :
A.
$$0$$
B.
$$\left[ {\vec A\,\vec B\,\vec C} \right] + \left[ {\vec B\,\vec C\,\vec A} \right]$$
C.
$$\left[ {\vec A\,\vec B\,\vec C} \right]$$
D.
None of these
Releted Question 2
For non-zero vectors $$\vec a,\,\vec b,\,\vec c,\,\left| {\left( {\vec a \times \vec b} \right).\vec c} \right| = \left| {\vec a} \right|\left| {\vec b} \right|\left| {\vec c} \right|$$ holds if and only if -
A.
$$\vec a.\vec b = 0,\,\,\,\vec b.\vec c = 0$$
B.
$$\vec b.\vec c = 0,\,\,\,\vec c.\vec a = 0$$
C.
$$\vec c.\vec a = 0,\,\,\,\vec a.\vec b = 0$$
D.
$$\vec a.\vec b = \vec b.\vec c = \vec c.\vec a = 0$$