Let \(\overrightarrow{a}=i-j+k \) , \(\overrightarrow{b}=2i+3j-k \) and \(\overrightarrow{c}=-i-j+pk \) be three vectors.
I: \(\overrightarrow{a}\), \(\overrightarrow{b}\) and \(\overrightarrow{c}\) are co-planar for p = 1/5
II: If \(\overrightarrow{a}\), \(\overrightarrow{b}\) and \(\overrightarrow{c}\) are coterminous edges of a parallelepiped, its volume for p = 5 is 24.
Which of the following statement(s) is/are correct.
1
Only I
2
Only II
3
Both I and II
4
None