Consider the following statements in respect of a vector \(\vec c=\vec a+\vec b\), where \(|\vec a|=|\vec b|\ne0\):
1. \(\vec c\) is perpendicular to \((\vec a-\vec b).\)
2. \(\vec c\) is perpendicular to \(\vec a \times \vec b.\)
Which of the above statement is/are correct?
1
1 only
2
2 only
3
Both 1 and 2
4
Neither 1 nor 2