If diagonals of a parallelogram are $\left( {5\hat i - 4\hat j + 3\hat k} \right)$ and $\left( {3\hat i + 2\hat j - \hat k} \right)$ then its area is
$\sqrt {171} \,unit$
$\sqrt {72} \,unit$
$171\,unit$
$72\,unit$
$\vec A$ and $\vec B$ are two vectors and $\theta$ is the angle between them, if $|\vec A \times \vec B|=\sqrt 3(\vec A \cdot \vec B) $ the value of $\theta$ is ......... $^o$
Write the distributive law for the product of two vectors.
Projection of vector $\vec A$ on $\vec B$ is
A vector $\overrightarrow A $ points vertically upward and $\overrightarrow B $points towards north. The vector product $\overrightarrow A \times \overrightarrow B $ is