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)]| = `

If (bar(a),bar(b))=(pi)/(6),bar(c) is perpendicular to bar(a) and bar(b),|bar(a)|=3,|bar(b)|=4,|bar(c)|=6 then |[bar(a)bar(b)bar(c)]|

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

If bar(c) = 3 bar(a) - 2 bar(b) then prove that [(bar(a),bar(b),bar(c))] = 0

If bar(a),bar(b) are vectors perpendicular to each other and |bar(a)|=2,|bar(b)|=3, bar(c)timesbar(a)=b, then the least value of 2|bar(c)-bar(a)|" is

bar(a) , bar(b) and bar(c) are three vectors such that bar(a) + bar(b) + bar(c) = bar(0) and |bar(a)| =2, |bar(b)| =3, |bar(c)| =5 ,then bar(a) . bar(b) + bar(b) . bar(c) + bar(c) . bar(a) equals

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)|=2 and bar(a).bar(b)=bar(b).bar(c)=bar(c).bar(a)=2 then [bar(a) bar(b) bar(c)] equal to

Three vectors bar(a),bar(b),bar(c) are such that bar(a)xxbar(b)=3(bar(a)xxbar(c)) .Also |bar(a)|=|bar(b)|=1,|bar(c)|=(1)/(3). If the angle between bar(b) and bar(c) is 60^(@), then

Three vectors bar(a),bar(b),bar(c) are such that bar(a)xxbar(b)=3(bar(a)xxbar(c))* Also |bar(a)|=|bar(b)|=1,|bar(c)|=(1)/(3). If the angle between bar(b) and bar(c) is 60^(@), then

If bar(a), bar(b), bar(c) form a left handed orthogonal system and bar(a)*bar(a)=4, bar(b)*bar(b)=9, bar(c)*bar(c)=16 then [bar(a) bar(b) bar(c)] =