The vector sum of three vectors \(\vec{A},\,\vec{B}\,and\,\vec{C}\)  is zero. If  \(\hat{i}\,and\,\hat{j}\) are unit vectors in the directions of  \(\vec{A}\,and\,\vec{B}\) respectively, then:

1
\(\vec{C}\) should be along \(\hat{i}\)
2
\(\vec{C}\) should be along \(\hat{j}\)
3
\(\vec{C}\) should be in the plane of \(\hat{i}\,and\,\hat{j}\)
4
More than one of the above​
5
None of the above

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