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)$
$(\hat j + \hat k)$
$( - 4\hat i)$
Write the necessary condition for the scalar product of two mutually perpendicular vectors.
Show that the magnitude of a vector is equal to the square root of the scalar product of the vector with itself.
The two vectors have magnitudes $3$ and $5$. If angle between them is $60^o$, then the dot product of two vectors will be