The ratio in which `bar(i)+2bar(j)+3bar(k)` divides the join of `-2bar(i)+3bar(j)+5bar(k)` and `7bar(i)-bar(k)` in `lambda,mu` then `lambda+mu`

If the volume of tetrahedron with edges bar(i)+bar(j)-bar(k) , bar(i)+abar(j)+bar(k) and bar(i)+2bar(j)-bar(k) is (a)/(6) then a=

The direction ratios of a line which is perpendicular to the two vectors -2bar(i) +3 bar(j) -bar(k) and 4 bar(i) +bar(j) +3 bar(k) is

The vector area of the triangle formed by the points bar(i)+2bar(j)+3bar(k),2bar(i)+3bar(j)+bar(k) and 3bar(i)+bar(j)+2bar(k) is

If the volume of the tetrahedron with edges 2bar(i)+bar(j)+bar(k),bar(i)+abar(j)+bar(k) and vec i+2bar(j)-bar(k) is one cubic unit then a=

bar (a) = bar (a) + bar (j) + bar (k), bar (b) = bar (i) + bar (j), bar (c) = bar (i) and (bar (a) xxbar (b)) xxbar (c) = lambdabar (a) + mubar (b), then lambda + mu =

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

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

If p=bar(i)+abar(j)+bar(k) and q-bar(i)+bar(j)+bar(k) then |bar(p)+bar(q)|=|bar(p)|+|bar(q)| is true for

If 3bar(i)+3bar(j)+sqrt(3)bar(k),bar(i)+bar(j),sqrt(3)bar(i)+sqrt(3)bar(j)+lambdabar(k) are coplanar vectors 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=