engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Vector Algebra Scalar and Vector Product
Consider the following statements:
I: If \(\overrightarrow{a}\times \overrightarrow{b} =\overrightarrow{c}\) and \(\overrightarrow{b}\times \overrightarrow{c} =\overrightarrow{a}\), then \(\mid \overrightarrow{a}\mid =\mid \overrightarrow{c}\mid \).
II: If \( \overrightarrow{a}=2\hat i+3\hat j+4\hat k\) and \( \overrightarrow{b}=3\hat i+2\hat j-λ\hat k\) are perpendicular, then λ is 4.
Which one of the following is correct in respect of the above statements?
1
Only I
2
Only II
3
Both I and II
4
None