0.bar(621)" an "(m)/(n)" of "{24" .Fred "

If bar(a)=2bar(m)+bar(n),bar(b)=bar(m)-2bar(n), Angle between the unitvectors bar(m) and bar(n) is 60^(@). a b are the sidesa parallelogram then the lengths of the diagonals are

Express 0.bar(437) in the form of (m)/(n)

Express 0.bar(67) in the form of (m)/(n)

If bar(x)_(1),bar(x)_(2),bar(x)_(3),...bar(x)_(n) are the means of n groups with n_(1),n_(2),n_(3),....n_(n) numbers of observations respectively.Than the mean bar(x) of all group together is given by:

Let bar(a),bar(b),bar(c) be unit vectors such that bar(a)*bar(b)=bar(a).bar(c)=0 and the angle between bar(b) and bar(c) is (pi)/(6) if bar(a)=n(bar(b)xxbar(c)), then value of n is

Represent 0.bar(23) in the form m/n .

bar(r)=l(bar(b)xxbar(c))+m(bar(c)xxbar(a))+n(bar(a)xxbar(b)) and [bar(a)bar(b)bar(c)]=2, then l+m+n is equal to and [bar(a)bar(b)bar(c)]=2

If bar(a),b&bar(c) are three vectors such that, |bar(a)|=3,|bar(b)|=4&|bar(c)|=sqrt(24) and sum of any two vectors is orthogonal to the third vector, then |bar(a)+bar(b)+bar(c)| is equal to