[" The P.V.'s of the vertices of a triangle are "2bar(i)+3bar(j)+4bar(k),4bar(i)+6bar(j)+3bar(k),3bar(i)+2bar(j)+3bar(k)quad " P.V.of its "],[" orthocentre is "]

The P.V.'s of the vertices of a triangle are 2bar(i)+3bar(j)+4bar(k), 4bar(i)+6bar(j)+3bar(k), 3bar(i)+2bar(j)+3bar(k) P.V. of its orthocentre is

The P.V's of the vertices of a triangle are 2bar(i)+3bar(j)+4bar(k),4bar(i)+6bar(j)+3bar(k),3vec i+2bar(j)+3bar(k) P.V.of orthocenter is

The vectors 2bar(i)-3bar(j)+bar(k), bar(i)-2bar(j)+3bar(k), 3bar(i)+bar(j)-2bar(k)

The P.V.'s of the vertices of a DeltaABC are bar(i)+bar(j)+bar(k), 4bar(i)+bar(j)+bar(k), 4bar(i)+5bar(j)+bar(k) . The P.V. of the circumcentre of DeltaABC is

The vectors bar(i)+4bar(j)+6bar(k),2bar(i)+4bar(j)+3bar(k) and bar(i)+2bar(j)+3bar(k) form

The position vectors of the vertices of a triangle are 3bar(i)+4bar(j)+5bar(k),bar(i)+7bar(k) and 5bar(i)+5bar(j) The distance between the circumcentre and orthocentre is

The volume of parallelo piped whose coterminus edges are bar(i)-bar(j),2bar(i)+bar(j)+bar(k),bar(i)-bar(j)+3bar(k) 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 P.V.'s of A, B, C are bar(i)+bar(j)+bar(k), 4bar(i)+bar(j)+bar(k), 4bar(i)+5bar(j)+bar(k) , then the P.V. of the incentre of DeltaABC is

Find t, for which the vectors 2bar(i) - 3bar(j) + bar(k), bar(i) + 2bar(j) -3bar(k) , bar(j) - tbar(k) are coplanar.