The volume of tetrahedron with edges `bar i xx bar j *bar j xx bar k*bar k xx bar i`

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=

Find the volume of the tetrahedron having the edges , bar(i) + bar(j) + bar(k), bar(i)-bar(j), bar(i) + 2bar(j) + bar(k) .

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=

If bar = hat i + hat j and bar b = 2 hat i - hat k then the intersection piont of the lines bar r xx bar a = bar b xx bar a and bar r xx bar b = bar a xx bar b is .............

Let bar a = 2bar i + bar k,bar b=bar i+bar j+bar k and bar c=4 bar i-3bar j+7 bar k three vectors. The vector which satisfies bar r xx bar b=bar c xx bar b and bar r.bar a=0 is

Find the vector area and area of the triangle with vertices bar(i) + bar(j)-bar(k), 2bar(i)- 3bar(j) + bar(k), 3 bar(i) + bar(j)- 2bar(k) .

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

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

Compute [bar(i) - bar(j). bar(j) - bar(k). bar(k) -bar(i)] .