If $\overrightarrow{ P } \times \overrightarrow{ Q }=\overrightarrow{ Q } \times \overrightarrow{ P },$ the angle between $\overrightarrow{ P }$ and $\overrightarrow{ Q }$ is $\theta\left(0^{\circ} < \theta < 360^{\circ}\right) .$ The value of $\theta$ will be ……..

If $\vec A = 2\hat i + \hat j – \hat k,\,\vec B = \hat i + 2\hat j + 3\hat k$ and $\vec C = 6\hat i – 2j – 6\hat k$ then the angle between $(\vec A + \vec B)$ and $\vec C$ wil be ……. $^o$

What is the angle between $\vec A\,\,$ and  $\vec B\,\,$ if $\vec A\,\,$ and  $\vec B\,\,$ are the adjacent sides of a parallelogran drawn from a common point and the area of the parallelogram is $\frac {AB}{2}$

If a vector $\vec A$ is parallel to another vector $\vec B$ then the resultant of the vector $\vec A \times \vec B$ will be equal to

Show that the scalar product of two vectors obeys the law of distributive.