ABCD is a rhombus.If `bar(AC)=bar(i)+(1+lambda)bar(j)+(lambda-2)bar(k)` and `bar(BD)=(1+lambda)bar(i)+bar(j)-bar(k) ` then `lambda=`

If lambda(2bar(i)-4bar(j)+4bar(k)) is a unit vector then lambda=

The lines bar(r)=bar(i)+bar(j)-bar(k)+s(3bar(i)-bar(j)) and bar(r)=4bar(i)-bar(k)+t(2bar(i)+3bar(k))

If bar(a)=a_(1)bar(i)+b_(1)bar(j)+c_(1)bar(k),bar(b)=a_(2)bar(i)+b_(2)bar(j)+c_(3)bar(k) ,then bar(a)*bar(b)

If (bar(a)xxbar(b))(bar(c)xxbar(b))+(bar(a).bar(b))(bar(b)*bar(c))=lambda(bar(a).bar(c)) then lambda=

The shortest distance the two lines bar(r)=2bar(i)-bar(j)-bar(k)+lambda(2bar(i)+bar(j)+2bar(k)) and bar(r)=(bar(i)+2bar(j)+bar(k))+mu(bar(i)-bar(j)+bar(k)) is

If bar(a)=2bar(i)+3bar(j),bar(b)=bar(i)+bar(j)+bar(k),bar(c)=3bar(i)+lambdabar(j)+2bar(k) and [bar(a)bar(b)bar(c)]=-1 then lambda

If bar(a)=2bar(i)+3bar(j),bar(b)=bar(i)+bar(j)+bar(k),bar(c)=3bar(i)+lambdabar(j)+2bar(k) and [bar(a)bar(b)bar(c)]=-1 then lambda

The volume of a parallelopiped whose edges are represented by -12bar(i)+lambdabar(k) , 3bar(j)-bar(k) and 2bar(i)+bar(j)-15bar(k) is 546 then lambda=

If (2bar(i)+6bar(j)+27bar(k))times(bar(i)+lambdabar(j)+mubar(k))=bar(0) ,then value of lambda,mu is

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))