If a, b, c are different real numbers (vector ai + bj + ck , bi + cj + ak) and (vector ci + aj + bk) are position vectors of three non-collinear points, then :
(a) perpendicular from the origin of the plane of the triangle does not meet it at the centroid
(b) triangle ABC is a scalene triangle
(c) (i + j + k ) is not equally inclined to three vectors
(d) centroid of Δ ABC is a +b+c/3 (vector i + j + k)
