`bara,barb,barc` are three unit vectors such that `bar a xx (bar b xx bar c)1/2bar b` , then `(bar a, barb) =(bar a,bar c)=(bar b,bar c)`, are non-collinear)

bar(a),bar(b),bar(c) are three unit vectors such that bar(a)xx(bar(b)xxbar(c))(1)/(2)bar(b), then (bar(a),bar(b))=(bar(a),bar(c))=(bar(b),bar(c)), are non-collinear)

If bar(a),bar(b),bar(c) are three non zero vectors,then bar(a).bar(b)=bar(a).bar(c)rArr

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

Let bar(a),b,bar(c) are three vectors such that , |bar(a)|=|bar(b)|=|bar(c)|=2 and (bar(a),bar(b))=(pi)/(3)=(bar(b),bar(c))=(bar(c),bar(a)) The volume of the parallelepiped whose adjacent edges are 2bar(a),3bar(b),4bar(c)

if bar(a),bar(b),bar(c) are any three vectors then prove that [bar(a),bar(b)+bar(c),bar(a)+bar(b)+bar(c)]=0

If bar a, bar b " and " barc are unit coplanar vetors then [2 bar a -bar b " "2 bar b -barc " " 2 barc-bara]=....

Suppose bar(a), bar(b), bar(c) be three unit vectors such that |bar(a)-bar(b)|^(2)+|bar(b)-bar(c)|^(2)+|bar(c)-bar(a)|^(2) is equal to 3 . If bar(a), bar(b), bar(c) are equally inclined to each other at an angle:

If bara,barb,barc are non-coplanar vectors then [bar(a)+2bar(b)" "bar(a)+bar(c)" "bar(b)]=

If bar(a),bar(b),bar(c) are non-coplanar unit vectors such that bar(a)times(bar(b)timesbar(c))=(sqrt(3))/(2)(bar(b)+bar(c)) then the angle between bar(a) and bar(b) is ( bar(b) and bar(c) are non collinear)

if bar a+2 bar b+3bar c=bar 0 then bar axxbar b+bar b xx bar c+bar cxx bara = lambda (bar b xx bar c) ,where lambda=