If the position vectors of the vertices A, B and C are 6i, 6j and k respectively w.r.t origin O, then the volume of the tetrahedron OABC is

OABC is a tetrahedron. The position vectors of A, B and C are i, i+j and j+k , respectively. O is origin. The height of the tetrahedron (taking ABC as base) is

OABC is a tetrahedron. The position vectors of A, B and C are i, i+j and j+k , respectively. O is origin. The height of the tetrahedron (taking ABC as base) is

OABC is a tetrahedron. The position vectors of A, B and C are i, i+j and j+k , respectively. O is origin. The height of the tetrahedron (taking ABC as base) is

OABC is a tetrahedron. The position vectors of A, B and C are I, i+j and j+k , respectively. O is origin. The height of the tetrahedron (taking ABC as base) is

The position vector of the points A, B and C are respectively vec i + vec j, vec j + vec k and lambda vec k + vec i . If the volume of the tetrahedron OABC is 6, find lambda where O is the origin.

The position vectors of the vertices A ,B ,a n dC of a triangle are hat i+ hat j , hat j+ hat ka n d hat i+ hat k , respectively. Find the unite vector hat r lying in the plane of A B C and perpendicular to I A ,w h e r eI is the incentre of the triangle.