A vector ${\overrightarrow F _1}$is along the positive $X-$axis. If its vector product with another vector ${\overrightarrow F _2}$ is zero then ${\overrightarrow F _2}$ could be
$4\hat j$
$ - (\hat i + \hat j)$
$(\hat j + \hat k)$
$( - 4\hat i)$
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
What is the unit vector perpendicular to the following vectors $2\hat i + 2\hat j - \hat k$ and $6\hat i - 3\hat j + 2\hat k$