The position vectors of the vertices of a triangle are `3bari+4barj+5bark, bari+ 7bark and 5bari+5barj` The distance between the circumcentre and orthocentre is

If bara = 3bari - 4barj +5bark, barb = 2bari+3barj-bark ," then the angle between " bara and barb is

If the position vectors of A,B and C are respectively 2bari-barj+bark, bari -3barj-5bark and 3bari - 4barj - 4bark, " then " cos^(2) A =

If the position vectors of the points A, B and C are -2bari+barj-bark , -4bari+2barj+2bark and 6bari-3barj-12bark respectively and barAB=lambdabarAC , then find the value of lambda .

If the volume of tetrahedron with edges bari+barj-bark,bari+abarj+bark and bari+2barj-bark is a/6 then a=

The four points whose position vectors are 6bari -7 barj, 16bari -29barj-4bark, 3barj-6bark, 2bari +5barj +10bark are

[bari-barj bark]+[-bari-barj bark]+[bari-bark bark] =

Find the value of [bari+barj+bark,bari-barj,bari+2barj-bark] .

The volume of a parallelopiped whose co-terminus edges are 2bari - 3barj , bari + barj - bark and 3bari - bark is :