If two adjacent sides of a parallelogram are \(2\hat i - 4\hat j + 5 \hat k \) and \(\hat i - 2\hat j - 3\hat k \), then
1. The area of the parallelogram is 11√5 sq. units.
2. The unit vector parallel to its diagonal is \(\frac{3}{7}\hat i -\frac{6}{7}\hat j + \frac{2}{7}\hat k\).
Which of the above statement(s) is/are correct?
1
Only 1
2
Only 2
3
Both 1 and 2
4
Neither 1 nor 2