The vector product of two vectors $2\hat{i} + \hat{j}$ and $\hat{i} + 2\hat{j}$ is:

$A$ vector $\vec{A}$ points towards North and vector $\vec{B}$ points upwards,then $\vec{A} \times \vec{B}$ points towards ...........

Find the component of vector $\vec{r}$ in the direction of vector $\vec{a}$.

If the relationship between three vectors is $\vec{A} \cdot \vec{B} = 0$ and $\vec{A} \cdot \vec{C} = 0$,then $\vec{A}$ is parallel to:

Find the angle in $^o$ between two vectors $\overrightarrow{A} = 2\hat{i} + 4\hat{j} + 4\hat{k}$ and $\overrightarrow{B} = 4\hat{i} + 2\hat{j} - 4\hat{k}$.

$\hat{i} \cdot (\hat{j} \times \hat{k}) + \hat{j} \cdot (\hat{k} \times \hat{i}) + \hat{k} \cdot (\hat{i} \times \hat{j}) = $