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

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

If bar(a)+bar(b)+bar(c)=bar(0) then prove that bar(a)xxbar(b)=bar(b)xxbar(c)=bar(c)xxbar(a) .

Let bar(a) be a unit vector bar(b)=2bar(i)+bar(j)-bar(k) and bar(c)=bar(i)+3bar(k) then maximum value of [bar(a)bar(b)bar(c)] is

If bar(a)=bar(i)-2bar(j)-3bar(k), bar(b)=2bar(i)+bar(j)-bar(k),bar(c)=bar(i)+3bar(j)-2bar(k) " then find " bar(a)xx(bar(b)xxbar(c))

Let bar(a) be a unit vector bar(b)=2bar(i)+bar(j)-bar(k) and bar(c)=bar(i)+3bar(k) then maximum value of [[bar(a),bar(b),bar(c)]] is

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(i)-2bar(j)+3bar(k),bar(b)=2bar(i)+bar(j)+bar(k), bar(c)=bar(i)+bar(j)+2bar(k) " then find "(bar(a)xxbar(b))xxbar(c)|and|bar(a)xx(bar(b)xxbar(c))|

bar(b)=bar(i)-2bar(j)-3bar(k),bar(b)=2bar(i)+bar(j)-bar(k),bar(c)=bar(i)+ 3bar(j)-2bar(k) then bar(a).(bar(b)xxbar(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)]|

bar(a),bar(b) and bar( c ) are three non zero, non planar vectors. bar(p)=bar(a)+bar(b)-2bar( c ),bar(q)=3bar(a)-2bar(b)+bar( c ) and bar( r )=bar(a)-4bar(b)+2bar( c ) . The volume of the parallelepiped formed by the vectors bar(a),bar(b) and bar( c ) is V_(1) and the volume of the parallelepiped formed by the vectors bar(p),bar(q) and bar( r ) is V_(2) then V_(2):V_(1) = .............