If `|bar(a)|=4,|bar(b)|=2` and the angle between `bar(a) and bar(b)` is `pi/6` ,then `(|bar(a)timesbar(b)|)^(2)` is equal to

If |bar(a)|=4,|bar(b)|=2 and the angle between bar(a) and bar(b) is pi/6 ,then (bar(a)timesbar(b))^(2) is equal to

If bar(a) is a perpendicular to bar(b) and bar(c), |bar(a)|=2, |bar(b)|=3, |bar(c)|=4 and the angle between bar(b) and bar(c) is (2pi)/(3) then |[bar(a) bar(b) bar(c)]| =

Let bar(a)=2hat i+hat j-2hat k,bar(b)=hat i+hat j and bar(c) be a vector such that |bar(c)-bar(a)|=3,|(bar(a)timesbar(b))timesbar(c)|=3 and the angle between bar(c) and bar(a)timesbar(b) is 30^(@) . Then, bar(a).bar(c) is equal to

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

A parallelogram is constructed on 2bar(a)+3bar(b) and 3bar(a)-5bar(b), where ।bar(a)|=4 and |bar(b)|=5. If the angle between bar(a) and bar(b) is (pi)/(3), then the magnitude of the smaller diagonal is

If bar(a)+bar(b)+bar(c)=bar(0) then bar(a)timesbar(b)=

If |bar(a)|=1,|bar(b)|=2 , (bar(a),bar(b))=(2 pi)/(3) then |(bar(a)+3bar(b))times(3bar(a)-bar(b))|^(7)= ...

If the moduli of bar(a) and bar(b) are equal and angle between them is 120^(@) and bar(a)*bar(b)=-8 , then |bar(a)| is equal to

If theta is the angle between unit vectors bar(A) and bar(B) then (1-bar(A).bar(B))/(1+bar(A)*bar(B)) is equal to

If |bar(a)|=3,|bar(b)|=4 and |bar(a)+bar(b)|=5, then |bar(a)-bar(b)| is equal to