`bar a=a_1 bari + a_2bar j+a_3 bar k`, where `a_1, a_2, a_3` are rational numbers. If `bara` makes an angle `45^@` with the vector `beta=sqrt2 i+3sqrt2 j+4bar k and |baralpha|` is rational, then `|alpha|` lies in

baralpha=a_(1)bari+a_(2)barj+a_(3)bark where a_(1), a_(2), a_(3) are rational numbers. If baralpha makes an angle 45^(0) with the vector bar beta=sqrt(2)i+3sqrt(2)j+4bark and | baralpha| is rational, then |baralpha| lies in

The vector of magnitude 3sqrt(6) along the bisector of the angle between the vectors 4bar(i)-7bar(j)+4bar(k) and bar(i)+2bar(j)-2bar(k) is

Evaluate: /_\ |[1+a_1, a_2, a_3],[a_1, 1+a_2, a_3],[a_1, a_2, 1+a_3]|

Evaluate: /_\ |[1+a_1, a_2, a_3],[a_1, 1+a_2, a_3],[a_1, a_2, 1+a_3]|

Evaluate: /_\ |[1+a_1, a_2, a_3],[a_1, 1+a_2, a_3],[a_1, a_2, 1+a_3]|

Let A be the set of 4-digit numbers a_1 a_2 a_3 a_4 where a_1 > a_2 > a_3 > a_4 , then n(A) is equal to

Let A be the set of 4-digit numbers a_1 a_2 a_3 a_4 where a_1 > a_2 > a_3 > a_4 , then n(A) is equal to

Let A be the set of 4-digit numbers a_1 a_2 a_3 a_4 where a_1 > a_2 > a_3 > a_4 , then n(A) is equal to