If $\vec{A} = 2\hat{i} + 3\hat{j} - \hat{k}$ and $\vec{B} = \hat{i} - \hat{j} + 2\hat{k}$, what is the unit vector perpendicular to both $\vec{A}$ and $\vec{B}$?

If ${\rm{\vec A}}{\rm{.\vec B}} = 0\,and\,\,{\rm{\vec A}} imes {\rm{\vec B}} = 1$, then ${\rm{\vec A}}\;\,and\,{\rm{\vec B}}$ are

Given ${\rm{\vec P}} = 3\hat j + 4\hat k\,and\,{\rm{\vec Q}} = 2\hat i + 5\hat k$. The magnitude of the scalar product of these vectors is

Two vectors $\vec{A}$ and $\vec{B}$ have magnitudes 3 and 4 units respectively. If the angle between them is $60^\circ$, what is the magnitude of their cross product $\vec{A} imes \vec{B}$?

If $\overrightarrow F = \widehat i + 2\widehat j - 3\widehat k$ and $\overrightarrow r = 2\widehat i - \widehat j + \widehat k$. Find $\overrightarrow r imes \overrightarrow F$

Projection of ${\rm{\vec P}}\,{\rm{on}}\,{\rm{\vec Q}}\;$ is

The angle between ${\rm{\vec A}}\;\,and\,{\rm{\vec B}}\,is\,heta$, the value of the triple product ${\rm{\vec A}}{\rm{.\vec B}} imes {\rm{\vec A}}$ is

If $\overrightarrow F = 2\widehat i - 3\widehat j\,\,N$ and $\overrightarrow r = 3\widehat i + 2\widehat j\,\,m$ then torque $\overrightarrow au$ is

If two vectors $\vec{A}$ and $\vec{B}$ are parallel to each other, what is the magnitude of their cross product?

Projection of ${\rm{\vec P}}\,{\rm{on}}\,{\rm{\vec Q}}\;$ is

The cross product $\vec{A} imes \vec{B}$ is anti-commutative. This means: