[[bar(a),bar(b),bar(a),x]bar(b)]" is equal to "

[bar(a)" "bar(b)" "bar(a)xxbarb] is equal to

[bar(a)" "bar(b)" "bar(a)xxbarb] is equal to

If bar(a)bar(b)bar(c) are three non-zero and non-null sand is any vector in space,then [bar(b)bar(c)bar(r)]bar(a)+[bar(c)bar(a)bar(r)]bar(b)+[bar(a)bar(b)bar(r)]bar(c) is equal to

If bar(d) is unit vector such that bar(d)=(bar(b)xxbar(c))+u=(bar(c)xx^(-))+v=(bar(a)xxbar(b)))|(bar(d)*bar(a))(bar(b)xxbar(c))+(bar(d)*bar(b))(bar(c)xxbar(a))+(bar(d)*bar(c))(bar(a)xxbar(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

The value of [(bar(a)+2bar(b)-bar(c))(bar(a)-bar(b))(bar(a)-bar(b)-bar(c))] is equal to the box product

If [bar(a)bar(b)bar(c)]!=0andbar(p)=(bar(b)xxbar(c))/([bar(a)bar(b)bar(c)]),bar(q)=(bar(c)xxbar(a))/([bar(a)bar(b)bar(c)]),bar(r)=(bar(a)xxbar(b))/([bar(a)bar(b)bar(c)]) , then bar(a)*bar(p)+bar(b)*bar(q)+bar(c)*bar(r) is equal to

Let bar(a),bar(b) and bar(c) be three non-zero vectors,no two of which are collinear.If the vectors bar(a)+2bar(b) is collinear with bar(c) and bar(b)+3bar(c) is collinear with bar(a), then bar(a)+2bar(b)+6bar(c) is equal to

bar(a),bar(b),bar(c) are three vectors such that |bar(a)|=1,|bar(b)|=2,|bar(c)|=3 and bar(b),bar(c) are perpendicular to each other.If the projection of bar(b) along bar(a) is same as that of bar(c) along bar(a) then |bar(a)-bar(b)+bar(c)| 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