A body is at rest under the action of three forces, two of which are ${\vec F_1} = 4\hat i,\,{\vec F_2} = 6\hat j,$ the third force is
$4\hat i + 6\hat j$
$4\hat i - 6\hat j$
$ - 4\hat i + 6\hat j$
$ - 4\hat i - 6\hat j$
A body is at rest under the action of three forces, two of which are ${\vec F_1} = 4\hat i,\,{\vec F_2} = 6\hat j,$ the third force is
${F_1} + {F_2} + {F_3} = 0$ $⇒$ $4\hat i + 6\hat j + {F_3} = 0$
$\therefore {\vec F_3} = - 4\hat i - 6\hat j$