Two adjacent sides of a parallelogram are represented by the two vectors $\hat i + 2\hat j + 3\hat k$ and $3\hat i - 2\hat j + \hat k$. What is the area of parallelogram
$8$
$8\sqrt 3 $
$3\sqrt 8 $
$192$
State and explain the characteristics of vector product of two vectors.
What is the product of two vectors if they are parallel or antiparallel ?
If $\vec A,\vec B$ and $\vec C$ are vectors having a unit magnitude. If $\vec A + \vec B + \vec C = \vec 0$ then $\vec A.\vec B + \vec B.\vec C + \vec C.\vec A$ will be